Atkin-Lehner |
2- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
12844d |
Isogeny class |
Conductor |
12844 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-23477598976 = -1 · 28 · 136 · 19 |
Discriminant |
Eigenvalues |
2- 2 1 3 -5 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3605,-82447] |
[a1,a2,a3,a4,a6] |
Generators |
[1699:69966:1] |
Generators of the group modulo torsion |
j |
-4194304/19 |
j-invariant |
L |
7.3335061579895 |
L(r)(E,1)/r! |
Ω |
0.30797502564137 |
Real period |
R |
3.9686692899407 |
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 |
51376p1 115596v1 76a1 |
Quadratic twists by: -4 -3 13 |