Atkin-Lehner |
2+ 3- 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
78390g |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
52254720 |
Modular degree for the optimal curve |
Δ |
1.0630236203228E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -2 13+ -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1660047255,-25985555323299] |
[a1,a2,a3,a4,a6] |
j |
693996909652155080508874400881/1458194266560724830072000 |
j-invariant |
L |
0.094620285834173 |
L(r)(E,1)/r! |
Ω |
0.023655071554371 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26130bc1 |
Quadratic twists by: -3 |