Atkin-Lehner |
2- 3- 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
76650cv |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
71424 |
Modular degree for the optimal curve |
Δ |
-11976562500 = -1 · 22 · 3 · 59 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 -4 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,437,-3883] |
[a1,a2,a3,a4,a6] |
j |
590589719/766500 |
j-invariant |
L |
2.7121982613654 |
L(r)(E,1)/r! |
Ω |
0.67804957975357 |
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 |
15330f1 |
Quadratic twists by: 5 |