Atkin-Lehner |
2- 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
38896k |
Isogeny class |
Conductor |
38896 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
5695619072 = 214 · 112 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 2 -2 2 11- 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-824,-8080] |
[a1,a2,a3,a4,a6] |
j |
15124197817/1390532 |
j-invariant |
L |
3.5849462943459 |
L(r)(E,1)/r! |
Ω |
0.89623657359363 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4862a1 |
Quadratic twists by: -4 |