Atkin-Lehner |
2+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
51376l |
Isogeny class |
Conductor |
51376 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
-667888 = -1 · 24 · 133 · 19 |
Discriminant |
Eigenvalues |
2+ 2 -4 4 2 13- -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-160,-729] |
[a1,a2,a3,a4,a6] |
Generators |
[2916:18603:64] |
Generators of the group modulo torsion |
j |
-12967168/19 |
j-invariant |
L |
7.3137275295278 |
L(r)(E,1)/r! |
Ω |
0.67077282271561 |
Real period |
R |
5.451717244534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25688e1 51376i1 |
Quadratic twists by: -4 13 |