Atkin-Lehner |
2- 3- 5+ 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
97110bz |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
416 |
Product of Tamagawa factors cp |
Δ |
1.7458787489484E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1512698,-329268423] |
[a1,a2,a3,a4,a6] |
Generators |
[-495:17511:1] [-703:20007:1] |
Generators of the group modulo torsion |
j |
525112809789753846361/239489540322140160 |
j-invariant |
L |
15.250758116734 |
L(r)(E,1)/r! |
Ω |
0.1421413680613 |
Real period |
R |
1.0316624004863 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.999999999905 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32370d2 |
Quadratic twists by: -3 |