Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
81984cr |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-114847011179712 = -1 · 26 · 36 · 79 · 61 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 4 -4 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6473,-555363] |
[a1,a2,a3,a4,a6] |
Generators |
[148:1323:1] |
Generators of the group modulo torsion |
j |
-468735288832000/1794484549683 |
j-invariant |
L |
8.7268418699165 |
L(r)(E,1)/r! |
Ω |
0.24333825297854 |
Real period |
R |
0.66412978949684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81984f1 20496o1 |
Quadratic twists by: -4 8 |