Atkin-Lehner |
2- 3+ 5+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
66330bb |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
22414233600000000 = 218 · 33 · 58 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-281018798,1813293051581] |
[a1,a2,a3,a4,a6] |
Generators |
[261795:-210911:27] |
Generators of the group modulo torsion |
j |
90900456040412489229868294947/830156800000000 |
j-invariant |
L |
7.8728707492587 |
L(r)(E,1)/r! |
Ω |
0.18971438552123 |
Real period |
R |
1.1527373295681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999859 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66330f2 |
Quadratic twists by: -3 |