Atkin-Lehner |
2- 3+ 5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
18690k |
Isogeny class |
Conductor |
18690 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-20032530107763600 = -1 · 24 · 314 · 52 · 76 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-70545,9889407] |
[a1,a2,a3,a4,a6] |
j |
-38826014312377691281/20032530107763600 |
j-invariant |
L |
2.8646278868635 |
L(r)(E,1)/r! |
Ω |
0.35807848585794 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56070e2 93450bf2 |
Quadratic twists by: -3 5 |