Atkin-Lehner |
2- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
27872d |
Isogeny class |
Conductor |
27872 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24384 |
Modular degree for the optimal curve |
Δ |
-29878784 = -1 · 29 · 13 · 672 |
Discriminant |
Eigenvalues |
2- 3 -1 1 0 13- 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5203,-144454] |
[a1,a2,a3,a4,a6] |
j |
-30423924092232/58357 |
j-invariant |
L |
5.0591616672716 |
L(r)(E,1)/r! |
Ω |
0.28106453707065 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27872b1 55744b1 |
Quadratic twists by: -4 8 |