Atkin-Lehner |
2- 3- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
39672n |
Isogeny class |
Conductor |
39672 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-2772761216112 = -1 · 24 · 39 · 192 · 293 |
Discriminant |
Eigenvalues |
2- 3- 0 3 1 -5 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1005,79171] |
[a1,a2,a3,a4,a6] |
Generators |
[77:-783:1] |
Generators of the group modulo torsion |
j |
9624416000/237719583 |
j-invariant |
L |
6.3116926925199 |
L(r)(E,1)/r! |
Ω |
0.60521230555567 |
Real period |
R |
0.21726854618409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79344j1 13224b1 |
Quadratic twists by: -4 -3 |