Atkin-Lehner |
2+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472n |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6193152 |
Modular degree for the optimal curve |
Δ |
8.6357167860133E+19 |
Discriminant |
Eigenvalues |
2+ -2 -4 7+ -6 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1110145,52457439] |
[a1,a2,a3,a4,a6] |
Generators |
[-499:21964:1] |
Generators of the group modulo torsion |
j |
23912763841/13647872 |
j-invariant |
L |
2.3931284471927 |
L(r)(E,1)/r! |
Ω |
0.1642260957043 |
Real period |
R |
3.6430394869198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999993375157 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129472dh1 4046l1 7616c1 |
Quadratic twists by: -4 8 17 |