Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200eq |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
344960000000000 = 216 · 510 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11- 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17633,123137] |
[a1,a2,a3,a4,a6] |
Generators |
[133:336:1] |
Generators of the group modulo torsion |
j |
592143556/336875 |
j-invariant |
L |
9.3006285072231 |
L(r)(E,1)/r! |
Ω |
0.46347834465458 |
Real period |
R |
2.5083773143195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999827366 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200bs2 30800b2 24640bv2 |
Quadratic twists by: -4 8 5 |