Atkin-Lehner |
2- 3+ 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840cc |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
114821867001600 = 28 · 314 · 52 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11+ 6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40260,3079692] |
[a1,a2,a3,a4,a6] |
Generators |
[89:440:1] |
Generators of the group modulo torsion |
j |
28191348197432656/448522917975 |
j-invariant |
L |
4.5685437206635 |
L(r)(E,1)/r! |
Ω |
0.59259058188146 |
Real period |
R |
3.8547218421722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003886 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20460o2 |
Quadratic twists by: -4 |