Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240c |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
635904000000 = 216 · 33 · 56 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5388,147312] |
[a1,a2,a3,a4,a6] |
Generators |
[52:88:1] |
Generators of the group modulo torsion |
j |
9776035692/359375 |
j-invariant |
L |
5.6534673162602 |
L(r)(E,1)/r! |
Ω |
0.90515362665664 |
Real period |
R |
3.1229324778421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240do2 8280q2 66240u2 |
Quadratic twists by: -4 8 -3 |