Atkin-Lehner |
2- 3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710co |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
5918720 |
Modular degree for the optimal curve |
Δ |
1.1652152544068E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6373901,-6172503279] |
[a1,a2,a3,a4,a6] |
Generators |
[-1442:5275:1] |
Generators of the group modulo torsion |
j |
241490118740417/982575360 |
j-invariant |
L |
14.702617196124 |
L(r)(E,1)/r! |
Ω |
0.095039583307154 |
Real period |
R |
3.867498324986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017829 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112710cb1 |
Quadratic twists by: 17 |