Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240bp |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4512244042137600 = 215 · 39 · 52 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-265548,52570672] |
[a1,a2,a3,a4,a6] |
Generators |
[101:5175:1] |
Generators of the group modulo torsion |
j |
86691267621512/188892675 |
j-invariant |
L |
5.6467580955943 |
L(r)(E,1)/r! |
Ω |
0.43636897268741 |
Real period |
R |
1.6175411318722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993567 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240ba4 33120q4 22080bg4 |
Quadratic twists by: -4 8 -3 |