Atkin-Lehner |
2- 3- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
55692bf |
Isogeny class |
Conductor |
55692 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
19440 |
Modular degree for the optimal curve |
Δ |
-884166192 = -1 · 24 · 36 · 73 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -3 13- 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,-2459] |
[a1,a2,a3,a4,a6] |
j |
-256000000/75803 |
j-invariant |
L |
1.6948586782848 |
L(r)(E,1)/r! |
Ω |
0.56495289322755 |
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 |
6188e1 |
Quadratic twists by: -3 |