Atkin-Lehner |
2- 3- 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840cw |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1584422400000000 = 215 · 3 · 58 · 113 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-84502736,298960186260] |
[a1,a2,a3,a4,a6] |
j |
16292063012679634585973329/386821875000 |
j-invariant |
L |
2.9834473891061 |
L(r)(E,1)/r! |
Ω |
0.2486206177917 |
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 |
10230w3 |
Quadratic twists by: -4 |