Atkin-Lehner |
2- 3- 5- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
76860g |
Isogeny class |
Conductor |
76860 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
2869979454720 = 28 · 37 · 5 · 75 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -3 3 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5232,120724] |
[a1,a2,a3,a4,a6] |
j |
84871020544/15378405 |
j-invariant |
L |
1.5308945734106 |
L(r)(E,1)/r! |
Ω |
0.76544728199062 |
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 |
25620f1 |
Quadratic twists by: -3 |