Atkin-Lehner |
2- 23- 89- |
Signs for the Atkin-Lehner involutions |
Class |
94162r |
Isogeny class |
Conductor |
94162 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1669771402119056 = -1 · 24 · 236 · 893 |
Discriminant |
Eigenvalues |
2- 1 -3 4 6 2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-293077,61076209] |
[a1,a2,a3,a4,a6] |
j |
-18806241149857/11279504 |
j-invariant |
L |
5.6143556792475 |
L(r)(E,1)/r! |
Ω |
0.467862972742 |
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 |
178a2 |
Quadratic twists by: -23 |