Atkin-Lehner |
2+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
66880bf |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
53504000000 = 214 · 56 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 11+ 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4625,-119023] |
[a1,a2,a3,a4,a6] |
Generators |
[139:1380:1] |
Generators of the group modulo torsion |
j |
667932971344/3265625 |
j-invariant |
L |
10.933801330235 |
L(r)(E,1)/r! |
Ω |
0.57908403460483 |
Real period |
R |
3.1468666251425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000302 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880dl2 8360k2 |
Quadratic twists by: -4 8 |