Atkin-Lehner |
2- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
3496h |
Isogeny class |
Conductor |
3496 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
42104934393856 = 211 · 197 · 23 |
Discriminant |
Eigenvalues |
2- -1 3 2 3 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44544,-3590228] |
[a1,a2,a3,a4,a6] |
j |
4772777079094274/20559049997 |
j-invariant |
L |
2.3009756948403 |
L(r)(E,1)/r! |
Ω |
0.32871081354861 |
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 |
6992a1 27968d1 31464d1 87400c1 |
Quadratic twists by: -4 8 -3 5 |