Atkin-Lehner |
2+ 3- 5+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
66330n |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
22807883577600 = 28 · 38 · 52 · 112 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10215,326781] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:665:1] [-87:786:1] |
Generators of the group modulo torsion |
j |
161709379766641/31286534400 |
j-invariant |
L |
6.6242123784475 |
L(r)(E,1)/r! |
Ω |
0.64222826545867 |
Real period |
R |
2.5786051216888 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000041 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22110s2 |
Quadratic twists by: -3 |