Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9438bd |
Isogeny class |
Conductor |
9438 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
374400 |
Modular degree for the optimal curve |
Δ |
-183060646032236544 = -1 · 213 · 36 · 119 · 13 |
Discriminant |
Eigenvalues |
2- 3- 3 1 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12582369,-17179818039] |
[a1,a2,a3,a4,a6] |
j |
-124352595912593543977/103332962304 |
j-invariant |
L |
6.252497563508 |
L(r)(E,1)/r! |
Ω |
0.04008011258659 |
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 |
75504bp1 28314w1 858d1 122694bl1 |
Quadratic twists by: -4 -3 -11 13 |