Atkin-Lehner |
2- 3+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
11748a |
Isogeny class |
Conductor |
11748 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
1089807637248 = 28 · 33 · 116 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11+ -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12372,531432] |
[a1,a2,a3,a4,a6] |
Generators |
[86:310:1] |
Generators of the group modulo torsion |
j |
818160641289808/4257061083 |
j-invariant |
L |
4.241145885138 |
L(r)(E,1)/r! |
Ω |
0.87651700009647 |
Real period |
R |
3.2257567049821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46992p2 35244d2 129228e2 |
Quadratic twists by: -4 -3 -11 |