Atkin-Lehner |
2- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
2392a |
Isogeny class |
Conductor |
2392 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-2380212224 = -1 · 211 · 133 · 232 |
Discriminant |
Eigenvalues |
2- -1 -1 -1 2 13+ 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,304,-1268] |
[a1,a2,a3,a4,a6] |
Generators |
[9:46:1] |
Generators of the group modulo torsion |
j |
1512116062/1162213 |
j-invariant |
L |
2.4679149153778 |
L(r)(E,1)/r! |
Ω |
0.81031043447192 |
Real period |
R |
1.5228206440327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4784a1 19136n1 21528a1 59800c1 |
Quadratic twists by: -4 8 -3 5 |