Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11088bj |
Isogeny class |
Conductor |
11088 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-467577680080896 = -1 · 212 · 36 · 76 · 113 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11+ -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7104,1065584] |
[a1,a2,a3,a4,a6] |
Generators |
[641:16121:1] |
Generators of the group modulo torsion |
j |
-13278380032/156590819 |
j-invariant |
L |
3.246976557917 |
L(r)(E,1)/r! |
Ω |
0.4471318216724 |
Real period |
R |
3.6308940680764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
693c2 44352ec2 1232f2 77616fm2 |
Quadratic twists by: -4 8 -3 -7 |