Atkin-Lehner |
2+ 3- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
38064q |
Isogeny class |
Conductor |
38064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
111451392 = 28 · 32 · 13 · 612 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 6 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-644,6060] |
[a1,a2,a3,a4,a6] |
j |
115562131792/435357 |
j-invariant |
L |
3.7670873516015 |
L(r)(E,1)/r! |
Ω |
1.8835436757719 |
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 |
19032f2 114192q2 |
Quadratic twists by: -4 -3 |