Atkin-Lehner |
2- 7+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
97006l |
Isogeny class |
Conductor |
97006 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
158876619259904 = 214 · 72 · 136 · 41 |
Discriminant |
Eigenvalues |
2- 2 -2 7+ 2 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14284,247021] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:857:1] |
Generators of the group modulo torsion |
j |
66775173193/32915456 |
j-invariant |
L |
14.361244939968 |
L(r)(E,1)/r! |
Ω |
0.51081980963997 |
Real period |
R |
2.0081508028523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999917759 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
574c1 |
Quadratic twists by: 13 |