Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200gc |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1859334400000000 = 214 · 58 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11- -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72700,7254000] |
[a1,a2,a3,a4,a6] |
Generators |
[5:2625:1] [90:1200:1] |
Generators of the group modulo torsion |
j |
165991931856/7263025 |
j-invariant |
L |
11.564217418484 |
L(r)(E,1)/r! |
Ω |
0.4641482663299 |
Real period |
R |
3.1143651350237 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999994265 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
123200a2 30800h2 24640bg2 |
Quadratic twists by: -4 8 5 |