Atkin-Lehner |
2- 3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840dj |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
226110544070400 = 28 · 34 · 52 · 114 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-160700,24731400] |
[a1,a2,a3,a4,a6] |
Generators |
[223:186:1] |
Generators of the group modulo torsion |
j |
1792809230778820816/883244312775 |
j-invariant |
L |
8.6492661734 |
L(r)(E,1)/r! |
Ω |
0.55117193648624 |
Real period |
R |
1.3077084177303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002177 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20460e2 |
Quadratic twists by: -4 |