Atkin-Lehner |
2+ 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
35568s |
Isogeny class |
Conductor |
35568 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
672316774781184 = 28 · 316 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-180111,-29394610] |
[a1,a2,a3,a4,a6] |
j |
3462397543530448/3602520441 |
j-invariant |
L |
1.8540934189192 |
L(r)(E,1)/r! |
Ω |
0.23176167736794 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17784q2 11856f2 |
Quadratic twists by: -4 -3 |