Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17850bu |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
122400 |
Modular degree for the optimal curve |
Δ |
-1031730000000000 = -1 · 210 · 3 · 510 · 7 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 -4 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-85638,9761892] |
[a1,a2,a3,a4,a6] |
j |
-7112520550825/105649152 |
j-invariant |
L |
4.9384898258166 |
L(r)(E,1)/r! |
Ω |
0.49384898258166 |
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 |
53550by1 17850k1 124950fo1 |
Quadratic twists by: -3 5 -7 |