Atkin-Lehner |
2+ 7- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
125398g |
Isogeny class |
Conductor |
125398 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2620800 |
Modular degree for the optimal curve |
Δ |
-289052263719893492 = -1 · 22 · 710 · 136 · 53 |
Discriminant |
Eigenvalues |
2+ 3 2 7- -2 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13636,25877684] |
[a1,a2,a3,a4,a6] |
j |
-58095499617/59884752788 |
j-invariant |
L |
4.9702733118445 |
L(r)(E,1)/r! |
Ω |
0.24851378346442 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
742f1 |
Quadratic twists by: 13 |