Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470cm |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12579840 |
Modular degree for the optimal curve |
Δ |
6.4860826109068E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 5 13+ -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14400099,17098521493] |
[a1,a2,a3,a4,a6] |
Generators |
[-1111:178670:1] |
Generators of the group modulo torsion |
j |
3285936081961/645388800 |
j-invariant |
L |
5.9121646852226 |
L(r)(E,1)/r! |
Ω |
0.10461142056489 |
Real period |
R |
7.0644350198672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35490ce1 106470ey1 |
Quadratic twists by: -3 13 |