Atkin-Lehner |
2- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
62192p |
Isogeny class |
Conductor |
62192 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
18720 |
Modular degree for the optimal curve |
Δ |
-1776265712 = -1 · 24 · 136 · 23 |
Discriminant |
Eigenvalues |
2- -1 0 2 0 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,282,-989] |
[a1,a2,a3,a4,a6] |
Generators |
[253:4025:1] |
Generators of the group modulo torsion |
j |
32000/23 |
j-invariant |
L |
4.6577786282066 |
L(r)(E,1)/r! |
Ω |
0.83726368287822 |
Real period |
R |
5.5630964575271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999369 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15548a1 368e1 |
Quadratic twists by: -4 13 |