Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400hg |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
1872000000 = 210 · 32 · 56 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-533,-4437] |
[a1,a2,a3,a4,a6] |
j |
1048576/117 |
j-invariant |
L |
2.0013255128878 |
L(r)(E,1)/r! |
Ω |
1.0006627605501 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400bb1 15600ba1 2496v1 |
Quadratic twists by: -4 8 5 |