Atkin-Lehner |
2- 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
17168l |
Isogeny class |
Conductor |
17168 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
127455232 = 212 · 292 · 37 |
Discriminant |
Eigenvalues |
2- 1 -4 1 3 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-725,-7741] |
[a1,a2,a3,a4,a6] |
Generators |
[38:145:1] |
Generators of the group modulo torsion |
j |
10303307776/31117 |
j-invariant |
L |
4.2380616858602 |
L(r)(E,1)/r! |
Ω |
0.920118988215 |
Real period |
R |
2.3029965363947 |
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 |
1073a1 68672y1 |
Quadratic twists by: -4 8 |