Atkin-Lehner |
2+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880bo |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
1341199002632192000 = 224 · 53 · 116 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 11- -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2764385,-1767274783] |
[a1,a2,a3,a4,a6] |
Generators |
[26042:1232055:8] |
Generators of the group modulo torsion |
j |
8912089320684236569/5116268168000 |
j-invariant |
L |
10.936769330373 |
L(r)(E,1)/r! |
Ω |
0.11708867037877 |
Real period |
R |
5.1892150980075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999453 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880dg4 2090d4 |
Quadratic twists by: -4 8 |