Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
17052p |
Isogeny class |
Conductor |
17052 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
24073808976 = 24 · 32 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4377,-112680] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:15:1] |
Generators of the group modulo torsion |
j |
4927700992/12789 |
j-invariant |
L |
6.7032172749551 |
L(r)(E,1)/r! |
Ω |
0.58703620847427 |
Real period |
R |
1.9031243099345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68208bv1 51156p1 2436b1 |
Quadratic twists by: -4 -3 -7 |