Atkin-Lehner |
2- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
47824s |
Isogeny class |
Conductor |
47824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
10324573010526208 = 222 · 79 · 61 |
Discriminant |
Eigenvalues |
2- 1 2 7- -3 0 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-565672,163493812] |
[a1,a2,a3,a4,a6] |
j |
41540367914137/21425152 |
j-invariant |
L |
1.6044909279239 |
L(r)(E,1)/r! |
Ω |
0.40112273192948 |
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 |
5978f1 6832j1 |
Quadratic twists by: -4 -7 |