Atkin-Lehner |
2- 3+ 7- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
18942p |
Isogeny class |
Conductor |
18942 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-410237883695269476 = -1 · 22 · 320 · 72 · 114 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-105994,-33600709] |
[a1,a2,a3,a4,a6] |
j |
-131694553381672776097/410237883695269476 |
j-invariant |
L |
1.9534703813272 |
L(r)(E,1)/r! |
Ω |
0.12209189883295 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56826l3 |
Quadratic twists by: -3 |