Atkin-Lehner |
2- 3+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
125424j |
Isogeny class |
Conductor |
125424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-1072499727594672 = -1 · 24 · 39 · 132 · 674 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 0 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38880,3345111] |
[a1,a2,a3,a4,a6] |
j |
-20639121408000/3405539449 |
j-invariant |
L |
0.94608879026272 |
L(r)(E,1)/r! |
Ω |
0.47304432618785 |
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 |
31356b1 125424k1 |
Quadratic twists by: -4 -3 |