Atkin-Lehner |
2- 3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
17568k |
Isogeny class |
Conductor |
17568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-96799333699584 = -1 · 212 · 318 · 61 |
Discriminant |
Eigenvalues |
2- 3- 3 1 5 5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-235596,-44017472] |
[a1,a2,a3,a4,a6] |
j |
-484328442184768/32417901 |
j-invariant |
L |
3.9005723474099 |
L(r)(E,1)/r! |
Ω |
0.1083492318725 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17568l1 35136cd1 5856g1 |
Quadratic twists by: -4 8 -3 |