Atkin-Lehner |
2+ 31- 59- |
Signs for the Atkin-Lehner involutions |
Class |
117056j |
Isogeny class |
Conductor |
117056 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
219625154114748416 = 222 · 316 · 59 |
Discriminant |
Eigenvalues |
2+ -2 2 0 4 0 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-282497,53118175] |
[a1,a2,a3,a4,a6] |
Generators |
[-15670:1163089:125] |
Generators of the group modulo torsion |
j |
9511014591995617/837803474864 |
j-invariant |
L |
6.2484512573246 |
L(r)(E,1)/r! |
Ω |
0.30716354537823 |
Real period |
R |
6.7808081914302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005595 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117056l2 3658c2 |
Quadratic twists by: -4 8 |