Atkin-Lehner |
3- 5+ 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
80475i |
Isogeny class |
Conductor |
80475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-72620076675 = -1 · 3 · 52 · 294 · 372 |
Discriminant |
Eigenvalues |
0 3- 5+ 3 0 1 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3043,64894] |
[a1,a2,a3,a4,a6] |
Generators |
[34:43:1] |
Generators of the group modulo torsion |
j |
-124690185748480/2904803067 |
j-invariant |
L |
6.9643111115557 |
L(r)(E,1)/r! |
Ω |
1.0915162439309 |
Real period |
R |
0.79755009924718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003072 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80475f1 |
Quadratic twists by: 5 |