Atkin-Lehner |
2- 3- 5- 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
114570bu |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
178176 |
Modular degree for the optimal curve |
Δ |
-4627426848120 = -1 · 23 · 314 · 5 · 192 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 3 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4262,-147859] |
[a1,a2,a3,a4,a6] |
Generators |
[259:3879:1] |
Generators of the group modulo torsion |
j |
-11741970526489/6347636280 |
j-invariant |
L |
13.023789431266 |
L(r)(E,1)/r! |
Ω |
0.28816680683625 |
Real period |
R |
3.7662761830255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042504 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38190j1 |
Quadratic twists by: -3 |