Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200el |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
15178240000000000 = 218 · 510 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11- -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1026700,-400374000] |
[a1,a2,a3,a4,a6] |
Generators |
[1269:18447:1] |
Generators of the group modulo torsion |
j |
29220958012401/3705625 |
j-invariant |
L |
3.7952588555506 |
L(r)(E,1)/r! |
Ω |
0.14998297675415 |
Real period |
R |
6.3261493705845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989035 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
123200bl2 30800z2 24640bo2 |
Quadratic twists by: -4 8 5 |