Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
117624s |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
486342169777152 = 210 · 32 · 137 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 0 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41968,3120560] |
[a1,a2,a3,a4,a6] |
Generators |
[92:216:1] |
Generators of the group modulo torsion |
j |
1653974500/98397 |
j-invariant |
L |
6.6738422543833 |
L(r)(E,1)/r! |
Ω |
0.51598857587388 |
Real period |
R |
3.2335222688732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000078057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9048m2 |
Quadratic twists by: 13 |