Atkin-Lehner |
2- 7+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
97006h |
Isogeny class |
Conductor |
97006 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
74517744691936 = 25 · 7 · 136 · 413 |
Discriminant |
Eigenvalues |
2- 1 3 7+ 0 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13439,431417] |
[a1,a2,a3,a4,a6] |
j |
55611739513/15438304 |
j-invariant |
L |
5.7148944385281 |
L(r)(E,1)/r! |
Ω |
0.5714894669892 |
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 |
574f1 |
Quadratic twists by: 13 |