Atkin-Lehner |
2+ 3- 5- 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
97290p |
Isogeny class |
Conductor |
97290 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.1122380865106E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27452169,-55332050675] |
[a1,a2,a3,a4,a6] |
j |
3138529276527569846533009/1525703822373945600 |
j-invariant |
L |
0.7914970402512 |
L(r)(E,1)/r! |
Ω |
0.065958088193243 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32430t2 |
Quadratic twists by: -3 |