Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
17052q |
Isogeny class |
Conductor |
17052 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
13846224 = 24 · 3 · 73 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -6 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5889,171996] |
[a1,a2,a3,a4,a6] |
Generators |
[1524:4060:27] |
Generators of the group modulo torsion |
j |
4116309458944/2523 |
j-invariant |
L |
5.0487879276796 |
L(r)(E,1)/r! |
Ω |
1.8399271479885 |
Real period |
R |
2.744015127555 |
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 |
68208by1 51156o1 17052e1 |
Quadratic twists by: -4 -3 -7 |