Atkin-Lehner |
2+ 3- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
42408d |
Isogeny class |
Conductor |
42408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
1807996294224 = 24 · 312 · 193 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -2 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-637806,196056385] |
[a1,a2,a3,a4,a6] |
j |
2460039058204469248/155006541 |
j-invariant |
L |
1.2630443414884 |
L(r)(E,1)/r! |
Ω |
0.63152217074846 |
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 |
84816h1 14136d1 |
Quadratic twists by: -4 -3 |