Atkin-Lehner |
17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
117113c |
Isogeny class |
Conductor |
117113 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
5557986347273 = 17 · 836 |
Discriminant |
Eigenvalues |
1 0 2 4 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-624746,190221759] |
[a1,a2,a3,a4,a6] |
Generators |
[4001202589230:-3256397625592819:242620354053] |
Generators of the group modulo torsion |
j |
82483294977/17 |
j-invariant |
L |
11.687357476853 |
L(r)(E,1)/r! |
Ω |
0.60276804484373 |
Real period |
R |
19.389477594438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999800742 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17a3 |
Quadratic twists by: -83 |