Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232t |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
10536167718912 = 214 · 3 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 11- -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5969,86385] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:56:1] [-29:484:1] |
Generators of the group modulo torsion |
j |
810448/363 |
j-invariant |
L |
6.4431563447524 |
L(r)(E,1)/r! |
Ω |
0.64818126590322 |
Real period |
R |
2.4850904691665 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23232dr2 1452d2 69696ci2 2112c2 |
Quadratic twists by: -4 8 -3 -11 |