Atkin-Lehner |
5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
54665f |
Isogeny class |
Conductor |
54665 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
259840 |
Modular degree for the optimal curve |
Δ |
4714822442157425 = 52 · 13 · 299 |
Discriminant |
Eigenvalues |
1 0 5- 2 -4 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-157004,-23676765] |
[a1,a2,a3,a4,a6] |
Generators |
[-1778:4487:8] |
Generators of the group modulo torsion |
j |
29503629/325 |
j-invariant |
L |
6.1884358138324 |
L(r)(E,1)/r! |
Ω |
0.23999976097743 |
Real period |
R |
6.4462937260512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000401 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54665g1 |
Quadratic twists by: 29 |