Atkin-Lehner |
2+ 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
35520bm |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
155364480000 = 210 · 38 · 54 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30725,-2083125] |
[a1,a2,a3,a4,a6] |
j |
3132662187311104/151723125 |
j-invariant |
L |
5.7696125354815 |
L(r)(E,1)/r! |
Ω |
0.36060078346825 |
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 |
35520cj1 2220b1 106560cf1 |
Quadratic twists by: -4 8 -3 |