Atkin-Lehner |
2- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118300j |
Isogeny class |
Conductor |
118300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3908736 |
Modular degree for the optimal curve |
Δ |
-178441095218750000 = -1 · 24 · 59 · 7 · 138 |
Discriminant |
Eigenvalues |
2- -3 5+ 7+ 4 13+ 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-878800,317741125] |
[a1,a2,a3,a4,a6] |
j |
-368050176/875 |
j-invariant |
L |
1.9281858045749 |
L(r)(E,1)/r! |
Ω |
0.32136438473069 |
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 |
23660k1 118300ba1 |
Quadratic twists by: 5 13 |