Atkin-Lehner |
17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
17629a |
Isogeny class |
Conductor |
17629 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
236844 |
Modular degree for the optimal curve |
Δ |
-457592311517814469 = -1 · 1710 · 613 |
Discriminant |
Eigenvalues |
-1 0 -1 5 -3 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1059673,421385630] |
[a1,a2,a3,a4,a6] |
Generators |
[214242:476323:343] |
Generators of the group modulo torsion |
j |
-65275426881/226981 |
j-invariant |
L |
2.8880999379158 |
L(r)(E,1)/r! |
Ω |
0.29767011122171 |
Real period |
R |
9.7023511230682 |
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 |
17629e1 |
Quadratic twists by: 17 |