Atkin-Lehner |
2- 3+ 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840bs |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.7177444831069E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2827824,-792267840] |
[a1,a2,a3,a4,a6] |
Generators |
[548234328:32198238720:226981] |
Generators of the group modulo torsion |
j |
610549301534093096111/419371211696025600 |
j-invariant |
L |
4.8365375243692 |
L(r)(E,1)/r! |
Ω |
0.084504477258652 |
Real period |
R |
7.1542622335659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005415 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230bb2 |
Quadratic twists by: -4 |