Atkin-Lehner |
2- 3- 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
13398bg |
Isogeny class |
Conductor |
13398 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
169779456 = 28 · 33 · 7 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13822,-626620] |
[a1,a2,a3,a4,a6] |
j |
292037311595104993/169779456 |
j-invariant |
L |
5.2836973108974 |
L(r)(E,1)/r! |
Ω |
0.44030810924145 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107184cb1 40194n1 93786bz1 |
Quadratic twists by: -4 -3 -7 |