Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
109368bb |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
281337753171863808 = 28 · 316 · 77 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- -6 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-474663,123257050] |
[a1,a2,a3,a4,a6] |
j |
538671647824/12813633 |
j-invariant |
L |
2.4649592769604 |
L(r)(E,1)/r! |
Ω |
0.30811993474804 |
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 |
36456be2 15624h2 |
Quadratic twists by: -3 -7 |