Atkin-Lehner |
2- 3+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840bw |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1633105996431360000 = -1 · 217 · 3 · 54 · 118 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,131944,58607856] |
[a1,a2,a3,a4,a6] |
j |
62019664213641191/398707518660000 |
j-invariant |
L |
3.0933701549862 |
L(r)(E,1)/r! |
Ω |
0.19333563902266 |
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 |
10230l4 |
Quadratic twists by: -4 |