Atkin-Lehner |
2- 3- 79- |
Signs for the Atkin-Lehner involutions |
Class |
3792g |
Isogeny class |
Conductor |
3792 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-398068992 = -1 · 28 · 39 · 79 |
Discriminant |
Eigenvalues |
2- 3- 4 3 1 5 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-796,-8968] |
[a1,a2,a3,a4,a6] |
j |
-218156637904/1554957 |
j-invariant |
L |
4.0425318061763 |
L(r)(E,1)/r! |
Ω |
0.44917020068626 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
948b1 15168m1 11376v1 94800bm1 |
Quadratic twists by: -4 8 -3 5 |