Atkin-Lehner |
2- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
17168n |
Isogeny class |
Conductor |
17168 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-140041691070464 = -1 · 222 · 293 · 372 |
Discriminant |
Eigenvalues |
2- 1 -1 0 -5 -3 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-239016,-45060172] |
[a1,a2,a3,a4,a6] |
j |
-368677389247668649/34189865984 |
j-invariant |
L |
1.2955121600905 |
L(r)(E,1)/r! |
Ω |
0.10795934667421 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2146b1 68672q1 |
Quadratic twists by: -4 8 |