Atkin-Lehner |
2- 3+ 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
59160m |
Isogeny class |
Conductor |
59160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
-17156400 = -1 · 24 · 3 · 52 · 17 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -4 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31,-200] |
[a1,a2,a3,a4,a6] |
Generators |
[9:13:1] |
Generators of the group modulo torsion |
j |
-212629504/1072275 |
j-invariant |
L |
4.0425085011428 |
L(r)(E,1)/r! |
Ω |
0.91048729848045 |
Real period |
R |
2.2199697392006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118320n1 |
Quadratic twists by: -4 |