Atkin-Lehner |
7- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
56749j |
Isogeny class |
Conductor |
56749 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
66240 |
Modular degree for the optimal curve |
Δ |
63976382393 = 72 · 117 · 67 |
Discriminant |
Eigenvalues |
1 2 0 7- 11- -6 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1575,-21424] |
[a1,a2,a3,a4,a6] |
j |
244140625/36113 |
j-invariant |
L |
0.76527945117863 |
L(r)(E,1)/r! |
Ω |
0.76527945189651 |
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 |
5159c1 |
Quadratic twists by: -11 |