Atkin-Lehner |
2- 3- 5+ 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
33630m |
Isogeny class |
Conductor |
33630 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
188341136718750000 = 24 · 36 · 512 · 19 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-520176,-142927920] |
[a1,a2,a3,a4,a6] |
j |
15565916503512139822849/188341136718750000 |
j-invariant |
L |
4.2696369114186 |
L(r)(E,1)/r! |
Ω |
0.17790153797589 |
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 |
100890m2 |
Quadratic twists by: -3 |