Atkin-Lehner |
2+ 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600ce |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
15959837531250000 = 24 · 312 · 59 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-261750,51184375] |
[a1,a2,a3,a4,a6] |
j |
87057508352/700569 |
j-invariant |
L |
0.78808078721867 |
L(r)(E,1)/r! |
Ω |
0.39404047693132 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55800z1 37200bc1 111600cc1 |
Quadratic twists by: -4 -3 5 |