Atkin-Lehner |
2- 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
15824l |
Isogeny class |
Conductor |
15824 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-4050944 = -1 · 212 · 23 · 43 |
Discriminant |
Eigenvalues |
2- -3 2 -2 -3 -3 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3859,-92270] |
[a1,a2,a3,a4,a6] |
Generators |
[143:1510:1] |
Generators of the group modulo torsion |
j |
-1551629757033/989 |
j-invariant |
L |
2.7218508554794 |
L(r)(E,1)/r! |
Ω |
0.30286622732232 |
Real period |
R |
4.4934869092926 |
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 |
989a1 63296z1 |
Quadratic twists by: -4 8 |