Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
97020co |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
8.3572791306521E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-86497887,-309326956666] |
[a1,a2,a3,a4,a6] |
Generators |
[-2584183378:-3473490440:493039] |
Generators of the group modulo torsion |
j |
3259751350395879376/3806353980275 |
j-invariant |
L |
8.1051186069149 |
L(r)(E,1)/r! |
Ω |
0.049508370190686 |
Real period |
R |
13.642673916446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989639 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10780h4 13860o4 |
Quadratic twists by: -3 -7 |