Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694d |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4942080 |
Modular degree for the optimal curve |
Δ |
4.6162808881433E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -4 11+ 13+ 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1401182,547769292] |
[a1,a2,a3,a4,a6] |
Generators |
[-59695:4191219:125] |
Generators of the group modulo torsion |
j |
158171/24 |
j-invariant |
L |
4.0892051459674 |
L(r)(E,1)/r! |
Ω |
0.19337415103316 |
Real period |
R |
3.5244327935888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998776423 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122694bt1 122694bv1 |
Quadratic twists by: -11 13 |