Atkin-Lehner |
3+ 11- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17391d |
Isogeny class |
Conductor |
17391 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
62003452781457 = 35 · 11 · 176 · 312 |
Discriminant |
Eigenvalues |
-1 3+ 0 2 11- 0 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11083,-245776] |
[a1,a2,a3,a4,a6] |
j |
150556032279096625/62003452781457 |
j-invariant |
L |
1.4474128569326 |
L(r)(E,1)/r! |
Ω |
0.48247095231086 |
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 |
52173f2 |
Quadratic twists by: -3 |