Atkin-Lehner |
2- 3+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
17622g |
Isogeny class |
Conductor |
17622 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
262080 |
Modular degree for the optimal curve |
Δ |
-224815545877266432 = -1 · 230 · 33 · 11 · 893 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11+ -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-768125,-259927099] |
[a1,a2,a3,a4,a6] |
Generators |
[1167:20200:1] |
Generators of the group modulo torsion |
j |
-1856329723339421749875/8326501699158016 |
j-invariant |
L |
6.424807955526 |
L(r)(E,1)/r! |
Ω |
0.08061114275574 |
Real period |
R |
3.9850619504265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
17622b2 |
Quadratic twists by: -3 |