Atkin-Lehner |
2- 3- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
18612l |
Isogeny class |
Conductor |
18612 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
149647627008 = 28 · 37 · 112 · 472 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1695,19366] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:198:1] |
Generators of the group modulo torsion |
j |
2885794000/801867 |
j-invariant |
L |
4.9605943645125 |
L(r)(E,1)/r! |
Ω |
0.95885005139994 |
Real period |
R |
0.43112357673218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74448u2 6204e2 |
Quadratic twists by: -4 -3 |