Atkin-Lehner |
2+ 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520i |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-20044800 = -1 · 210 · 33 · 52 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 1 5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11028,-445752] |
[a1,a2,a3,a4,a6] |
j |
-5364759575808/725 |
j-invariant |
L |
3.7270510942402 |
L(r)(E,1)/r! |
Ω |
0.23294069459215 |
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 |
83520dr1 5220f1 83520o1 |
Quadratic twists by: -4 8 -3 |