Atkin-Lehner |
2- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
16762i |
Isogeny class |
Conductor |
16762 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
16640 |
Modular degree for the optimal curve |
Δ |
-716789249024 = -1 · 210 · 176 · 29 |
Discriminant |
Eigenvalues |
2- 1 -1 2 3 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1439,35017] |
[a1,a2,a3,a4,a6] |
Generators |
[24:277:1] |
Generators of the group modulo torsion |
j |
13651919/29696 |
j-invariant |
L |
8.8192515055355 |
L(r)(E,1)/r! |
Ω |
0.62647407269025 |
Real period |
R |
0.70388000796771 |
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 |
58b1 |
Quadratic twists by: 17 |