Atkin-Lehner |
2+ 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75810a |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
217694400 |
Modular degree for the optimal curve |
Δ |
-6.8365252935588E+29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -3 5 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10273526088,-402773373059778] |
[a1,a2,a3,a4,a6] |
Generators |
[88243228790890531930778286995676513351748544067799624397418852865074140328150112433519291088525432848489586057122365006485588297368798562042365946410627139325986316:41839950465672503700751292552942321639992308375986642461584444190514025825998998785474604732337102198388167154959097408338405150066084665202179169822233693111987562955:327997554118354972384485858361987741026020797074397520964495115329576903957917708063435409449752272784007040546036833436043010334134494324276350277643435370944] |
Generators of the group modulo torsion |
j |
-371620692159996346278931/2118619749253938210 |
j-invariant |
L |
3.7718644358412 |
L(r)(E,1)/r! |
Ω |
0.0074953454679564 |
Real period |
R |
251.61378164398 |
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 |
75810cr1 |
Quadratic twists by: -19 |