Atkin-Lehner |
2+ 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
35568s |
Isogeny class |
Conductor |
35568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
642909040227597312 = 210 · 326 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-224571,-13771366] |
[a1,a2,a3,a4,a6] |
j |
1677865892403172/861235747047 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
17784q3 11856f3 |
Quadratic twists by: -4 -3 |