Atkin-Lehner |
2+ 3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840bd |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
23528672640000 = 210 · 34 · 54 · 114 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11+ -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33480040,-74574795100] |
[a1,a2,a3,a4,a6] |
j |
4053047308810753711566244/22977219375 |
j-invariant |
L |
4.0168261050413 |
L(r)(E,1)/r! |
Ω |
0.062762908572209 |
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 |
40920m4 |
Quadratic twists by: -4 |