Atkin-Lehner |
2+ 3- 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
124488g |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
3604901594112 = 210 · 37 · 73 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39675,-3040378] |
[a1,a2,a3,a4,a6] |
j |
9252243062500/4829097 |
j-invariant |
L |
0.67657160300087 |
L(r)(E,1)/r! |
Ω |
0.3382859228583 |
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 |
41496p1 |
Quadratic twists by: -3 |