Atkin-Lehner |
2- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
21424s |
Isogeny class |
Conductor |
21424 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
1253152489472 = 215 · 135 · 103 |
Discriminant |
Eigenvalues |
2- 0 -2 1 -5 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3851,-74566] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:130:1] [-25:78:1] |
Generators of the group modulo torsion |
j |
1541999809377/305945432 |
j-invariant |
L |
6.7429077973137 |
L(r)(E,1)/r! |
Ω |
0.61444750700569 |
Real period |
R |
1.0973936293065 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2678l1 85696bs1 |
Quadratic twists by: -4 8 |