Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11270k |
Isogeny class |
Conductor |
11270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
304957972900 = 22 · 52 · 78 · 232 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26298,1647797] |
[a1,a2,a3,a4,a6] |
Generators |
[101:69:1] |
Generators of the group modulo torsion |
j |
17095749786081/2592100 |
j-invariant |
L |
6.0989096637145 |
L(r)(E,1)/r! |
Ω |
0.93689853989472 |
Real period |
R |
3.254839987476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
90160by2 101430cm2 56350n2 1610f2 |
Quadratic twists by: -4 -3 5 -7 |