Atkin-Lehner |
2+ 3+ 5+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
76590a |
Isogeny class |
Conductor |
76590 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5564160 |
Modular degree for the optimal curve |
Δ |
5.3720643956254E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 5 1 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9330540,-10910883700] |
[a1,a2,a3,a4,a6] |
Generators |
[773898146:59584642682:103823] |
Generators of the group modulo torsion |
j |
4564075110404027660883/27292914675737500 |
j-invariant |
L |
5.1275586752274 |
L(r)(E,1)/r! |
Ω |
0.086413038116377 |
Real period |
R |
14.83444740226 |
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 |
76590bm1 |
Quadratic twists by: -3 |