Atkin-Lehner |
2+ 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23616m |
Isogeny class |
Conductor |
23616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-16216160741568 = -1 · 26 · 37 · 415 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 -3 6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,708,193610] |
[a1,a2,a3,a4,a6] |
j |
841232384/347568603 |
j-invariant |
L |
1.0820277439951 |
L(r)(E,1)/r! |
Ω |
0.5410138719976 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23616bw2 369b2 7872h2 |
Quadratic twists by: -4 8 -3 |