Atkin-Lehner |
5- 7- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
82775z |
Isogeny class |
Conductor |
82775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1925704107400390625 = 59 · 7 · 116 · 433 |
Discriminant |
Eigenvalues |
1 2 5- 7- 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-371029200,-2750962409125] |
[a1,a2,a3,a4,a6] |
Generators |
[82321871987165489561489146848075937924079550108659034402484645488320568045605244357114583720351644941011731009301081047472439474591948915308737709000392905339108583402796936282263967310867466697281510893073332844:20713914455066044634957327996495965255945625169212111023106197390963904443340041840596603557908968731789016786182448016773050627332923729823286557668448690472413440342061075610454318109692552485577307282455149500355:1184926483830108923208984237481901222167634527033183063223645641899358547364817694108753353056643045780891522789884964332724732638720227510783502371126158034417768966640448326961739905964013305504613733795776] |
Generators of the group modulo torsion |
j |
2892130894582541229488597/985960502989 |
j-invariant |
L |
11.323062510506 |
L(r)(E,1)/r! |
Ω |
0.034399135800162 |
Real period |
R |
329.16706327411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82775s2 |
Quadratic twists by: 5 |