Atkin-Lehner |
2- 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
23826bh |
Isogeny class |
Conductor |
23826 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
21851120142802764 = 22 · 34 · 11 · 1910 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 11+ -6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-263357,-51552891] |
[a1,a2,a3,a4,a6] |
j |
329474953/3564 |
j-invariant |
L |
1.6870856753977 |
L(r)(E,1)/r! |
Ω |
0.21088570942471 |
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 |
71478bf1 23826c1 |
Quadratic twists by: -3 -19 |