Atkin-Lehner |
2- 3+ 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
59160l |
Isogeny class |
Conductor |
59160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2597576894647200000 = 28 · 318 · 55 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-371796,-39889404] |
[a1,a2,a3,a4,a6] |
Generators |
[-160:3934:1] |
Generators of the group modulo torsion |
j |
22202355596841741904/10146784744715625 |
j-invariant |
L |
4.4608139835334 |
L(r)(E,1)/r! |
Ω |
0.20190811614164 |
Real period |
R |
5.5233217822869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118320o2 |
Quadratic twists by: -4 |