Atkin-Lehner |
17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
117113c |
Isogeny class |
Conductor |
117113 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-27306386924152249 = -1 · 174 · 836 |
Discriminant |
Eigenvalues |
1 0 2 4 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4736,7952597] |
[a1,a2,a3,a4,a6] |
Generators |
[-1365458221685446:36006962082464293:13074203857112] |
Generators of the group modulo torsion |
j |
-35937/83521 |
j-invariant |
L |
11.687357476853 |
L(r)(E,1)/r! |
Ω |
0.30138402242187 |
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 |
17a1 |
Quadratic twists by: -83 |