Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240z |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5331101184000000 = 215 · 39 · 56 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -4 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-104652,-12548304] |
[a1,a2,a3,a4,a6] |
Generators |
[-203:575:1] |
Generators of the group modulo torsion |
j |
196528293144/8265625 |
j-invariant |
L |
4.7914855633949 |
L(r)(E,1)/r! |
Ω |
0.26612704589548 |
Real period |
R |
1.5003753647702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001392 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240q2 33120b2 66240h2 |
Quadratic twists by: -4 8 -3 |