Atkin-Lehner |
2- 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17298v |
Isogeny class |
Conductor |
17298 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-7701771143776896 = -1 · 27 · 37 · 317 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 5 7 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-142889,-21178263] |
[a1,a2,a3,a4,a6] |
j |
-498677257/11904 |
j-invariant |
L |
3.4329327295466 |
L(r)(E,1)/r! |
Ω |
0.12260474034095 |
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 |
5766c1 558g1 |
Quadratic twists by: -3 -31 |