Atkin-Lehner |
2- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
30784p |
Isogeny class |
Conductor |
30784 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
21309423616 = 218 · 133 · 37 |
Discriminant |
Eigenvalues |
2- 0 2 -2 -2 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-108364,-13730160] |
[a1,a2,a3,a4,a6] |
j |
536832589893417/81289 |
j-invariant |
L |
0.78940442489378 |
L(r)(E,1)/r! |
Ω |
0.26313480829774 |
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 |
30784i1 7696c1 |
Quadratic twists by: -4 8 |