Atkin-Lehner |
2+ 3+ 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
59160d |
Isogeny class |
Conductor |
59160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
83896597652014080 = 210 · 34 · 5 · 178 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-278400,-54702468] |
[a1,a2,a3,a4,a6] |
Generators |
[-761747129:-801110870:2924207] |
Generators of the group modulo torsion |
j |
2330413611550502404/81930271144545 |
j-invariant |
L |
6.4755868006784 |
L(r)(E,1)/r! |
Ω |
0.20829043321448 |
Real period |
R |
15.544609275715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000466 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118320v4 |
Quadratic twists by: -4 |