Atkin-Lehner |
2- 3+ 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
71760bd |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2069760 |
Modular degree for the optimal curve |
Δ |
6.7243202050781E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1019585,-36657108] |
[a1,a2,a3,a4,a6] |
Generators |
[-216:13170:1] |
Generators of the group modulo torsion |
j |
7326127423809368375296/4202700128173828125 |
j-invariant |
L |
6.2727772373624 |
L(r)(E,1)/r! |
Ω |
0.1630928312799 |
Real period |
R |
5.4944845025499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17940j1 |
Quadratic twists by: -4 |