Atkin-Lehner |
2- 3- 5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
47430bb |
Isogeny class |
Conductor |
47430 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
4.7821291106436E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3013718,1986810981] |
[a1,a2,a3,a4,a6] |
j |
4152444961128795872281/65598478884000000 |
j-invariant |
L |
3.2255046893409 |
L(r)(E,1)/r! |
Ω |
0.20159404311604 |
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 |
15810c2 |
Quadratic twists by: -3 |