Atkin-Lehner |
5- 7+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
76475o |
Isogeny class |
Conductor |
76475 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
205440 |
Modular degree for the optimal curve |
Δ |
27483203125 = 58 · 7 · 19 · 232 |
Discriminant |
Eigenvalues |
1 -3 5- 7+ -1 -5 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25492,-1560209] |
[a1,a2,a3,a4,a6] |
j |
4690131180345/70357 |
j-invariant |
L |
0.75566301703128 |
L(r)(E,1)/r! |
Ω |
0.37783150617503 |
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 |
76475m1 |
Quadratic twists by: 5 |