Atkin-Lehner |
3+ 5+ 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
80475c |
Isogeny class |
Conductor |
80475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-86349675 = -1 · 3 · 52 · 292 · 372 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -1 -6 1 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-58,498] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:14:1] [3:-19:1] |
Generators of the group modulo torsion |
j |
-878080000/3453987 |
j-invariant |
L |
4.2889334647982 |
L(r)(E,1)/r! |
Ω |
1.671771287636 |
Real period |
R |
0.64137563204648 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995793 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80475k1 |
Quadratic twists by: 5 |