Atkin-Lehner |
2+ 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
120384l |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
37299974194593792 = 232 · 37 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11+ 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-118380,-12626512] |
[a1,a2,a3,a4,a6] |
j |
960044289625/195182592 |
j-invariant |
L |
2.0884396930916 |
L(r)(E,1)/r! |
Ω |
0.26105502571967 |
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 |
120384do1 3762p1 40128j1 |
Quadratic twists by: -4 8 -3 |