Atkin-Lehner |
2- 3- 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
20868a |
Isogeny class |
Conductor |
20868 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
Δ |
302948388811899648 = 28 · 311 · 372 · 474 |
Discriminant |
Eigenvalues |
2- 3- 0 0 4 6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-972028,-368236396] |
[a1,a2,a3,a4,a6] |
j |
396753274215758626000/1183392143796483 |
j-invariant |
L |
3.3456489800805 |
L(r)(E,1)/r! |
Ω |
0.15207495364002 |
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 |
83472k2 62604c2 |
Quadratic twists by: -4 -3 |