Atkin-Lehner |
2- 7+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
9338i |
Isogeny class |
Conductor |
9338 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
1093629002564 = 22 · 75 · 23 · 294 |
Discriminant |
Eigenvalues |
2- 2 -2 7+ 2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8614,-307169] |
[a1,a2,a3,a4,a6] |
j |
70687311717054817/1093629002564 |
j-invariant |
L |
3.9682152080056 |
L(r)(E,1)/r! |
Ω |
0.4960269010007 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74704t1 84042j1 65366u1 |
Quadratic twists by: -4 -3 -7 |