Atkin-Lehner |
2- 3+ 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
59160n |
Isogeny class |
Conductor |
59160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
31744 |
Modular degree for the optimal curve |
Δ |
96549120 = 28 · 32 · 5 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 6 6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-116,-60] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:18:1] |
Generators of the group modulo torsion |
j |
680136784/377145 |
j-invariant |
L |
6.696876478663 |
L(r)(E,1)/r! |
Ω |
1.5577988336999 |
Real period |
R |
1.0747338381922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999532 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118320q1 |
Quadratic twists by: -4 |