Atkin-Lehner |
2+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
17182c |
Isogeny class |
Conductor |
17182 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
143616 |
Modular degree for the optimal curve |
Δ |
-33472142697892096 = -1 · 28 · 1110 · 712 |
Discriminant |
Eigenvalues |
2+ 0 -3 2 11- 1 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-163796,-26950192] |
[a1,a2,a3,a4,a6] |
Generators |
[6566:154905:8] |
Generators of the group modulo torsion |
j |
-18737352513/1290496 |
j-invariant |
L |
2.9395842829032 |
L(r)(E,1)/r! |
Ω |
0.11818773927923 |
Real period |
R |
6.2180398339759 |
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 |
17182h1 |
Quadratic twists by: -11 |