Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992dj |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-8817419649024 = -1 · 215 · 311 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -3 3 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2316,149168] |
[a1,a2,a3,a4,a6] |
j |
-57512456/369117 |
j-invariant |
L |
5.0498700924389 |
L(r)(E,1)/r! |
Ω |
0.63123393392529 |
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 |
124992bm1 62496v1 41664bd1 |
Quadratic twists by: -4 8 -3 |