Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17136t |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
1529675524944 = 24 · 39 · 75 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 2 -6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-151416,22677975] |
[a1,a2,a3,a4,a6] |
Generators |
[157:1666:1] |
Generators of the group modulo torsion |
j |
1219067475001344/4857223 |
j-invariant |
L |
4.2656101759238 |
L(r)(E,1)/r! |
Ω |
0.74499460476655 |
Real period |
R |
1.1451385415766 |
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 |
4284a1 68544dc1 17136v1 119952dd1 |
Quadratic twists by: -4 8 -3 -7 |