Atkin-Lehner |
2+ 23+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
116288l |
Isogeny class |
Conductor |
116288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
2738814976 = 216 · 232 · 79 |
Discriminant |
Eigenvalues |
2+ 3 3 1 6 3 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2956,61808] |
[a1,a2,a3,a4,a6] |
j |
43587009252/41791 |
j-invariant |
L |
11.424150186336 |
L(r)(E,1)/r! |
Ω |
1.4280186356541 |
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 |
116288z1 14536d1 |
Quadratic twists by: -4 8 |