Atkin-Lehner |
2+ 23+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
19504c |
Isogeny class |
Conductor |
19504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-1248256 = -1 · 210 · 23 · 53 |
Discriminant |
Eigenvalues |
2+ -2 -3 -2 -4 1 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-192,964] |
[a1,a2,a3,a4,a6] |
Generators |
[480:-1594:27] [-6:44:1] |
Generators of the group modulo torsion |
j |
-768400132/1219 |
j-invariant |
L |
4.1590623720504 |
L(r)(E,1)/r! |
Ω |
2.72468063839 |
Real period |
R |
0.3816100787604 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9752c1 78016n1 |
Quadratic twists by: -4 8 |