Atkin-Lehner |
2+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472b |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5.1791109093852E+19 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9778604,-11764551888] |
[a1,a2,a3,a4,a6] |
Generators |
[-1819:2023:1] |
Generators of the group modulo torsion |
j |
16342588257633/8185058 |
j-invariant |
L |
6.9718327493936 |
L(r)(E,1)/r! |
Ω |
0.085377492347219 |
Real period |
R |
2.5518408189335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000629501 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129472cv4 4046i3 7616e3 |
Quadratic twists by: -4 8 17 |