Atkin-Lehner |
2- 3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840dg |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
2917555407360000 = 212 · 34 · 54 · 114 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42080,-2084172] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:1080:1] |
Generators of the group modulo torsion |
j |
2011876316615521/712293800625 |
j-invariant |
L |
9.0421747320927 |
L(r)(E,1)/r! |
Ω |
0.34307089912896 |
Real period |
R |
1.6472860922358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994659 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5115e2 |
Quadratic twists by: -4 |