Atkin-Lehner |
2+ 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710bg |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
7299072 |
Modular degree for the optimal curve |
Δ |
2.1269320102801E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9646728,-9152893994] |
[a1,a2,a3,a4,a6] |
Generators |
[-2410:11187:1] |
Generators of the group modulo torsion |
j |
42104603394468971/9020268000000 |
j-invariant |
L |
7.1175546945497 |
L(r)(E,1)/r! |
Ω |
0.086966020474432 |
Real period |
R |
2.2734149676525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000133 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61710cs1 |
Quadratic twists by: -11 |