Atkin-Lehner |
2+ 13+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
57304a |
Isogeny class |
Conductor |
57304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27392 |
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 |
[11:29:1] |
Generators of the group modulo torsion |
j |
-1407583264000/174698407 |
j-invariant |
L |
4.1486183309207 |
L(r)(E,1)/r! |
Ω |
1.3912312594311 |
Real period |
R |
0.37274700942789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114608a1 |
Quadratic twists by: -4 |