Atkin-Lehner |
3- 7- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
70707l |
Isogeny class |
Conductor |
70707 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
200834960781 = 3 · 77 · 133 · 37 |
Discriminant |
Eigenvalues |
2 3- -1 7- 3 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3446,73679] |
[a1,a2,a3,a4,a6] |
j |
38477541376/1707069 |
j-invariant |
L |
3.9733370041704 |
L(r)(E,1)/r! |
Ω |
0.99333425261676 |
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 |
10101b1 |
Quadratic twists by: -7 |