Atkin-Lehner |
2+ 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
48024f |
Isogeny class |
Conductor |
48024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
118784 |
Modular degree for the optimal curve |
Δ |
-10082734848 = -1 · 28 · 310 · 23 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 4 -1 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-132780,-18622892] |
[a1,a2,a3,a4,a6] |
j |
-1387248332416000/54027 |
j-invariant |
L |
4.0016248396253 |
L(r)(E,1)/r! |
Ω |
0.12505077624226 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96048h1 16008j1 |
Quadratic twists by: -4 -3 |