Atkin-Lehner |
2- 5- 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
88880p |
Isogeny class |
Conductor |
88880 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
2777500000000 = 28 · 510 · 11 · 101 |
Discriminant |
Eigenvalues |
2- 0 5- -2 11+ -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6967,-208974] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:30:1] [122:870:1] |
Generators of the group modulo torsion |
j |
146090231883216/10849609375 |
j-invariant |
L |
10.83712785207 |
L(r)(E,1)/r! |
Ω |
0.52501451733758 |
Real period |
R |
8.2566310029464 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999574 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22220e2 |
Quadratic twists by: -4 |