Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70980a |
Isogeny class |
Conductor |
70980 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
3284160843600 = 24 · 35 · 52 · 7 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-95541,11398230] |
[a1,a2,a3,a4,a6] |
j |
1248870793216/42525 |
j-invariant |
L |
2.2294923417675 |
L(r)(E,1)/r! |
Ω |
0.74316411793474 |
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 |
420b1 |
Quadratic twists by: 13 |