Atkin-Lehner |
2- 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
25550r |
Isogeny class |
Conductor |
25550 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
32000 |
Modular degree for the optimal curve |
Δ |
57232000000 = 210 · 56 · 72 · 73 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 6 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2130,-35503] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:55:1] |
Generators of the group modulo torsion |
j |
68367756969/3662848 |
j-invariant |
L |
8.7138047627279 |
L(r)(E,1)/r! |
Ω |
0.70512571997267 |
Real period |
R |
1.2357803035557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1022a1 |
Quadratic twists by: 5 |