Atkin-Lehner |
2- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880cx |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1327902400000000 = -1 · 212 · 58 · 112 · 193 |
Discriminant |
Eigenvalues |
2- 2 5- 0 11+ -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,27415,137225] |
[a1,a2,a3,a4,a6] |
Generators |
[1120:37875:1] |
Generators of the group modulo torsion |
j |
556304628382784/324194921875 |
j-invariant |
L |
9.4924814913905 |
L(r)(E,1)/r! |
Ω |
0.29121508609201 |
Real period |
R |
4.0745148280312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999622 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880dt2 33440j1 |
Quadratic twists by: -4 8 |