Atkin-Lehner |
2+ 7+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
89936f |
Isogeny class |
Conductor |
89936 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
346752 |
Modular degree for the optimal curve |
Δ |
849054169701584 = 24 · 7 · 117 · 733 |
Discriminant |
Eigenvalues |
2+ 0 1 7+ 11- 2 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-255902,-49806573] |
[a1,a2,a3,a4,a6] |
j |
115830990426913744896/53065885606349 |
j-invariant |
L |
1.485905181006 |
L(r)(E,1)/r! |
Ω |
0.21227217799618 |
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 |
44968g1 |
Quadratic twists by: -4 |