Atkin-Lehner |
2- 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
124656de |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
720846212825088 = 218 · 32 · 78 · 53 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -1 -3 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22752,-283788] |
[a1,a2,a3,a4,a6] |
j |
55164193/30528 |
j-invariant |
L |
3.3307897389453 |
L(r)(E,1)/r! |
Ω |
0.4163487909252 |
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 |
15582q1 124656cs1 |
Quadratic twists by: -4 -7 |