Atkin-Lehner |
2- 3- 5- 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
96570x |
Isogeny class |
Conductor |
96570 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
4253304937500 = 22 · 37 · 56 · 292 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -4 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21992,-1245841] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:91:1] |
Generators of the group modulo torsion |
j |
1613510703008569/5834437500 |
j-invariant |
L |
12.286088529798 |
L(r)(E,1)/r! |
Ω |
0.39212935629165 |
Real period |
R |
1.3054884753198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987289 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32190h2 |
Quadratic twists by: -3 |