Atkin-Lehner |
3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
77763f |
Isogeny class |
Conductor |
77763 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-3605168781126927 = -1 · 32 · 76 · 237 |
Discriminant |
Eigenvalues |
1 3+ 0 7- -4 6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13500,-2956869] |
[a1,a2,a3,a4,a6] |
Generators |
[1764854:48507129:2197] |
Generators of the group modulo torsion |
j |
-15625/207 |
j-invariant |
L |
6.0790700342314 |
L(r)(E,1)/r! |
Ω |
0.18960863500195 |
Real period |
R |
8.015286370556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004521 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1587c1 3381b1 |
Quadratic twists by: -7 -23 |