Atkin-Lehner |
2- 59- |
Signs for the Atkin-Lehner involutions |
Class |
6962j |
Isogeny class |
Conductor |
6962 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13920 |
Modular degree for the optimal curve |
Δ |
-9954605939276 = -1 · 22 · 597 |
Discriminant |
Eigenvalues |
2- -1 -3 -1 2 2 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1668,-148823] |
[a1,a2,a3,a4,a6] |
Generators |
[1803:13009:27] |
Generators of the group modulo torsion |
j |
12167/236 |
j-invariant |
L |
4.0153188743568 |
L(r)(E,1)/r! |
Ω |
0.35268354913319 |
Real period |
R |
1.4231309073763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55696r1 62658k1 118a1 |
Quadratic twists by: -4 -3 -59 |