Atkin-Lehner |
2- 5+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
123370p |
Isogeny class |
Conductor |
123370 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
11612160 |
Modular degree for the optimal curve |
Δ |
396353768565248000 = 212 · 53 · 139 · 73 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 0 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-70580741,228226588225] |
[a1,a2,a3,a4,a6] |
j |
8056051600393270819801/82115072000 |
j-invariant |
L |
2.5177349511719 |
L(r)(E,1)/r! |
Ω |
0.20981119775271 |
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 |
9490f1 |
Quadratic twists by: 13 |