Atkin-Lehner |
2- 3+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
125400ce |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
12580128000 = 28 · 32 · 53 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-588,-828] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:60:1] [-12:66:1] |
Generators of the group modulo torsion |
j |
703791632/393129 |
j-invariant |
L |
10.475741526863 |
L(r)(E,1)/r! |
Ω |
1.0408943181096 |
Real period |
R |
0.62901087483639 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.999999999668 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125400bp2 |
Quadratic twists by: 5 |