Atkin-Lehner |
2+ 5- 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
89680d |
Isogeny class |
Conductor |
89680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5324750000000000 = 210 · 512 · 192 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 -4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-459587,119870834] |
[a1,a2,a3,a4,a6] |
Generators |
[2203:98990:1] |
Generators of the group modulo torsion |
j |
10483998794795700324/5199951171875 |
j-invariant |
L |
6.968500665754 |
L(r)(E,1)/r! |
Ω |
0.42364090103151 |
Real period |
R |
5.4830247647674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015185 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44840c4 |
Quadratic twists by: -4 |