Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240h |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7312896000000 = 215 · 33 · 56 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11628,464752] |
[a1,a2,a3,a4,a6] |
Generators |
[14:552:1] |
Generators of the group modulo torsion |
j |
196528293144/8265625 |
j-invariant |
L |
5.0659007240295 |
L(r)(E,1)/r! |
Ω |
0.736866983876 |
Real period |
R |
0.85936485732829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000555 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240l2 33120ba2 66240z2 |
Quadratic twists by: -4 8 -3 |