Atkin-Lehner |
2- 3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28710bf |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
5.0491327775625E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2083703,-1105565169] |
[a1,a2,a3,a4,a6] |
j |
1372471830316604710441/69261080625000000 |
j-invariant |
L |
3.0252480580425 |
L(r)(E,1)/r! |
Ω |
0.12605200241846 |
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 |
9570d2 |
Quadratic twists by: -3 |