Atkin-Lehner |
7+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
26999d |
Isogeny class |
Conductor |
26999 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15624 |
Modular degree for the optimal curve |
Δ |
-3176405351 = -1 · 78 · 19 · 29 |
Discriminant |
Eigenvalues |
1 3 1 7+ 0 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,236,2267] |
[a1,a2,a3,a4,a6] |
Generators |
[4134834:57922759:19683] |
Generators of the group modulo torsion |
j |
251559/551 |
j-invariant |
L |
11.795867228863 |
L(r)(E,1)/r! |
Ω |
0.98441947021768 |
Real period |
R |
11.982561891279 |
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 |
26999i1 |
Quadratic twists by: -7 |