Atkin-Lehner |
2- 3+ 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
59160m |
Isogeny class |
Conductor |
59160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
96549120 = 28 · 32 · 5 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -4 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-756,-7740] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:2:1] |
Generators of the group modulo torsion |
j |
186906097744/377145 |
j-invariant |
L |
4.0425085011428 |
L(r)(E,1)/r! |
Ω |
0.91048729848045 |
Real period |
R |
1.1099848696003 |
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 |
118320n2 |
Quadratic twists by: -4 |