Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59150bz |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
960836666562500 = 22 · 57 · 72 · 137 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -4 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-25438,460992] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:1384:1] |
Generators of the group modulo torsion |
j |
24137569/12740 |
j-invariant |
L |
6.0182105722056 |
L(r)(E,1)/r! |
Ω |
0.4346816675243 |
Real period |
R |
1.7306373323584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000217 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11830h1 4550d1 |
Quadratic twists by: 5 13 |