Atkin-Lehner |
5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
122525h |
Isogeny class |
Conductor |
122525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-693450528941828125 = -1 · 56 · 137 · 294 |
Discriminant |
Eigenvalues |
1 0 5+ 0 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,218908,-7203559] |
[a1,a2,a3,a4,a6] |
j |
15382515303/9194653 |
j-invariant |
L |
2.6718930725469 |
L(r)(E,1)/r! |
Ω |
0.16699335772788 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4901c4 9425b4 |
Quadratic twists by: 5 13 |