Atkin-Lehner |
3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725bd |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
31131107996625 = 34 · 53 · 72 · 137 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 0 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16565,-782400] |
[a1,a2,a3,a4,a6] |
Generators |
[-610:1995:8] [-64:176:1] |
Generators of the group modulo torsion |
j |
833237621/51597 |
j-invariant |
L |
10.875568514413 |
L(r)(E,1)/r! |
Ω |
0.42245370262181 |
Real period |
R |
3.2179764454335 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998414 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88725cl1 6825f1 |
Quadratic twists by: 5 13 |