Atkin-Lehner |
7+ 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
66493a |
Isogeny class |
Conductor |
66493 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
22176 |
Modular degree for the optimal curve |
Δ |
-7822834957 = -1 · 78 · 23 · 59 |
Discriminant |
Eigenvalues |
1 0 0 7+ 2 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-107,-4250] |
[a1,a2,a3,a4,a6] |
j |
-23625/1357 |
j-invariant |
L |
0.57803909538311 |
L(r)(E,1)/r! |
Ω |
0.5780391067868 |
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 |
66493f1 |
Quadratic twists by: -7 |