Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17340p |
Isogeny class |
Conductor |
17340 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-61550800950000 = -1 · 24 · 3 · 55 · 177 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -3 -2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1830,-379275] |
[a1,a2,a3,a4,a6] |
j |
-1755904/159375 |
j-invariant |
L |
2.7541141741344 |
L(r)(E,1)/r! |
Ω |
0.27541141741344 |
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 |
69360co1 52020r1 86700e1 1020a1 |
Quadratic twists by: -4 -3 5 17 |