Atkin-Lehner |
2+ 3- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
46176j |
Isogeny class |
Conductor |
46176 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-53194752 = -1 · 212 · 33 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 -1 13- 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13,347] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:12:1] |
Generators of the group modulo torsion |
j |
-64000/12987 |
j-invariant |
L |
7.3794712175963 |
L(r)(E,1)/r! |
Ω |
1.6273457527606 |
Real period |
R |
0.75577784715621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999935 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46176f1 92352bm1 |
Quadratic twists by: -4 8 |