Atkin-Lehner |
2- 3+ 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
15834p |
Isogeny class |
Conductor |
15834 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
4011448896 = 26 · 32 · 72 · 132 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3017,-64969] |
[a1,a2,a3,a4,a6] |
j |
3037096836586513/4011448896 |
j-invariant |
L |
3.8653664606332 |
L(r)(E,1)/r! |
Ω |
0.64422774343886 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
126672bu2 47502p2 110838cq2 |
Quadratic twists by: -4 -3 -7 |