Atkin-Lehner |
7- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
66913i |
Isogeny class |
Conductor |
66913 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
412800 |
Modular degree for the optimal curve |
Δ |
-22484636138627047 = -1 · 75 · 118 · 792 |
Discriminant |
Eigenvalues |
-1 2 2 7- 11- 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,7318,7213438] |
[a1,a2,a3,a4,a6] |
j |
24464768327/12691990927 |
j-invariant |
L |
2.9653905777634 |
L(r)(E,1)/r! |
Ω |
0.29653905795993 |
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 |
6083a1 |
Quadratic twists by: -11 |