Atkin-Lehner |
2+ 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
73346c |
Isogeny class |
Conductor |
73346 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1454122549079773664 = -1 · 25 · 73 · 1310 · 312 |
Discriminant |
Eigenvalues |
2+ 1 3 7+ 0 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-75589300427,-7999059819232298] |
[a1,a2,a3,a4,a6] |
Generators |
[193342052215206831586792060571600093949516163917139701684645165297076242567998484991999293683072128925549071514727878403289862971571137729714229144953631284185973946497551773065627173032668730802154335366234204472696201549575450066661828158066416438100513796512719319762536094325040110660665761596690077993897465889998575564275334709288760233189090353906642771468738770139478103377892612679125722697752405676343371230362751797268468734237972155967338855394323053642639905749083450660:1795439054943574667505743806206496808512608695379769634973259758943533008796874866698986880259887343519508658637258120652518203348724945638971760734477116287115306958081055031948666130949562252146923244019335984245027342919557431622686653738109506950023396664832226993634762535832711198632477842908741299258268495878448931997493018245187413556915866402055066535550539492741977723676969499515538977491857351769970212037705181458484415209255044079082650836164699720847847710369187829546362:2241746256526560451870112801216929809189819498984801272656980226250832221483028266442338186604917258588298964412336686437076180552223709252925603703535079807586474389138098372240196773308957275216093777516107987341677777120032162428499018171944222182417322702958713118991484555503795025558787750720454294037911165028172550594841627929338446077757501435516913359867998958290967841596622446109954627103074509457378677388909293656772921411284936710667000295684081093149741092519] |
Generators of the group modulo torsion |
j |
-346474412515564883218187233/10547936 |
j-invariant |
L |
6.780679031178 |
L(r)(E,1)/r! |
Ω |
0.004552547413184 |
Real period |
R |
744.71262084403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73346v2 |
Quadratic twists by: 13 |