Atkin-Lehner |
2- 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
17168j |
Isogeny class |
Conductor |
17168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-10407378944 = -1 · 218 · 29 · 372 |
Discriminant |
Eigenvalues |
2- 1 -1 4 3 -3 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,24,4916] |
[a1,a2,a3,a4,a6] |
Generators |
[7:74:1] |
Generators of the group modulo torsion |
j |
357911/2540864 |
j-invariant |
L |
6.1901939175412 |
L(r)(E,1)/r! |
Ω |
1.0118308657188 |
Real period |
R |
1.5294537178265 |
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 |
2146a1 68672v1 |
Quadratic twists by: -4 8 |