Atkin-Lehner |
2- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
54080dl |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
259584 |
Modular degree for the optimal curve |
Δ |
217180147159040 = 212 · 5 · 139 |
Discriminant |
Eigenvalues |
2- -2 5- 4 -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20505,-886937] |
[a1,a2,a3,a4,a6] |
j |
21952/5 |
j-invariant |
L |
0.8109727144058 |
L(r)(E,1)/r! |
Ω |
0.40548635731268 |
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 |
54080dk1 27040f1 54080cr1 |
Quadratic twists by: -4 8 13 |