Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960r |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
13074529716480 = 28 · 3 · 5 · 237 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61540,-5894020] |
[a1,a2,a3,a4,a6] |
j |
680136784/345 |
j-invariant |
L |
4.8500105158718 |
L(r)(E,1)/r! |
Ω |
0.30312573963076 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63480l1 5520g1 |
Quadratic twists by: -4 -23 |