Atkin-Lehner |
2+ 3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840bb |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1742864640000 = -1 · 211 · 3 · 54 · 114 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2960,14900] |
[a1,a2,a3,a4,a6] |
j |
1399981070878/851008125 |
j-invariant |
L |
4.1252512869711 |
L(r)(E,1)/r! |
Ω |
0.5156564135927 |
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 |
40920ba3 |
Quadratic twists by: -4 |