Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32368ba |
Isogeny class |
Conductor |
32368 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
132579328 = 216 · 7 · 172 |
Discriminant |
Eigenvalues |
2- -1 2 7- 2 2 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-232,-1168] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:8:1] |
Generators of the group modulo torsion |
j |
1171657/112 |
j-invariant |
L |
5.7251035356812 |
L(r)(E,1)/r! |
Ω |
1.230349978742 |
Real period |
R |
2.3266158550816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4046a1 129472cy1 32368n1 |
Quadratic twists by: -4 8 17 |