Atkin-Lehner |
2- 3- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
76752bx |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-4406779588902912 = -1 · 226 · 36 · 133 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 -2 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24699,3526058] |
[a1,a2,a3,a4,a6] |
j |
-558051585337/1475821568 |
j-invariant |
L |
0.77061546151513 |
L(r)(E,1)/r! |
Ω |
0.38530774341897 |
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 |
9594t1 8528d1 |
Quadratic twists by: -4 -3 |