Atkin-Lehner |
2- 7- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
65758v |
Isogeny class |
Conductor |
65758 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
978432 |
Modular degree for the optimal curve |
Δ |
53679713582071808 = 214 · 79 · 113 · 61 |
Discriminant |
Eigenvalues |
2- 2 2 7- 11- 2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-594812,175970269] |
[a1,a2,a3,a4,a6] |
j |
576740649780919/1330233344 |
j-invariant |
L |
7.4578649848805 |
L(r)(E,1)/r! |
Ω |
0.35513642834786 |
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 |
65758bd1 |
Quadratic twists by: -7 |