Atkin-Lehner |
3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
125235v |
Isogeny class |
Conductor |
125235 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-413327866138605 = -1 · 36 · 5 · 118 · 232 |
Discriminant |
Eigenvalues |
1 3- 5+ -1 11- 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-62640,-6097415] |
[a1,a2,a3,a4,a6] |
j |
-173945761/2645 |
j-invariant |
L |
1.2060184272282 |
L(r)(E,1)/r! |
Ω |
0.15075225817427 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13915h1 125235y1 |
Quadratic twists by: -3 -11 |