Atkin-Lehner |
2- 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35568w |
Isogeny class |
Conductor |
35568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
-163131615608832 = -1 · 225 · 39 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 2 5 5 13+ -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51219,4503762] |
[a1,a2,a3,a4,a6] |
j |
-184317154371/2023424 |
j-invariant |
L |
4.6145345221146 |
L(r)(E,1)/r! |
Ω |
0.57681681526604 |
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 |
4446c1 35568x1 |
Quadratic twists by: -4 -3 |