Atkin-Lehner |
7- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
26999p |
Isogeny class |
Conductor |
26999 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-26999 = -1 · 72 · 19 · 29 |
Discriminant |
Eigenvalues |
-1 1 -1 7- 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1,-8] |
[a1,a2,a3,a4,a6] |
j |
-2401/551 |
j-invariant |
L |
1.6753165021138 |
L(r)(E,1)/r! |
Ω |
1.675316502114 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26999b1 |
Quadratic twists by: -7 |