Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240eq |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4010883593011200 = 218 · 37 · 52 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-236748,-44233328] |
[a1,a2,a3,a4,a6] |
Generators |
[-286:288:1] |
Generators of the group modulo torsion |
j |
7679186557489/20988075 |
j-invariant |
L |
5.0948970916065 |
L(r)(E,1)/r! |
Ω |
0.21647079744313 |
Real period |
R |
1.4710116650803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001172 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240ce4 16560by3 22080dd4 |
Quadratic twists by: -4 8 -3 |