Atkin-Lehner |
2- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2366k |
Isogeny class |
Conductor |
2366 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18720 |
Modular degree for the optimal curve |
Δ |
-27020264402404 = -1 · 22 · 72 · 1310 |
Discriminant |
Eigenvalues |
2- -2 3 7+ 6 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-114839,14971501] |
[a1,a2,a3,a4,a6] |
j |
-1214950633/196 |
j-invariant |
L |
2.5821956699399 |
L(r)(E,1)/r! |
Ω |
0.64554891748497 |
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 |
18928bc1 75712m1 21294w1 59150p1 |
Quadratic twists by: -4 8 -3 5 |