Atkin-Lehner |
2+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
17986c |
Isogeny class |
Conductor |
17986 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-3704450086336 = -1 · 26 · 17 · 237 |
Discriminant |
Eigenvalues |
2+ -2 -2 0 0 -6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2898,-70240] |
[a1,a2,a3,a4,a6] |
Generators |
[29:181:1] |
Generators of the group modulo torsion |
j |
18191447/25024 |
j-invariant |
L |
1.3508682458785 |
L(r)(E,1)/r! |
Ω |
0.41894617005407 |
Real period |
R |
3.2244434785121 |
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 |
782a1 |
Quadratic twists by: -23 |