Atkin-Lehner |
2- 3- 5+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
117150cb |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
2723178617181000000 = 26 · 320 · 56 · 11 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6695288,-6668183808] |
[a1,a2,a3,a4,a6] |
Generators |
[-1484:904:1] |
Generators of the group modulo torsion |
j |
2124278626065664981177/174283431499584 |
j-invariant |
L |
14.350760465138 |
L(r)(E,1)/r! |
Ω |
0.09385542411847 |
Real period |
R |
1.2741902888021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048471 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4686a3 |
Quadratic twists by: 5 |