Atkin-Lehner |
2- 3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710ck |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
8.8491340322611E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3936186,2971212516] |
[a1,a2,a3,a4,a6] |
Generators |
[-2220:28854:1] |
Generators of the group modulo torsion |
j |
279419703685750081/3666124800000 |
j-invariant |
L |
14.269924191274 |
L(r)(E,1)/r! |
Ω |
0.19174893238112 |
Real period |
R |
1.1628099421217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023531 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6630q1 |
Quadratic twists by: 17 |