Atkin-Lehner |
2+ 13+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
114608a |
Isogeny class |
Conductor |
114608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
54784 |
Modular degree for the optimal curve |
Δ |
-2795174512 = -1 · 24 · 13 · 19 · 294 |
Discriminant |
Eigenvalues |
2+ 2 0 -2 -4 13+ -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-588,-5857] |
[a1,a2,a3,a4,a6] |
Generators |
[47:261:1] [119:1263:1] |
Generators of the group modulo torsion |
j |
-1407583264000/174698407 |
j-invariant |
L |
14.882927788862 |
L(r)(E,1)/r! |
Ω |
0.48134596751964 |
Real period |
R |
7.7298496253817 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001357 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57304a1 |
Quadratic twists by: -4 |