Atkin-Lehner |
2- 3+ 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
89040bu |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3171248640000 = 212 · 32 · 54 · 72 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9360,340992] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:630:1] |
Generators of the group modulo torsion |
j |
22143063655441/774230625 |
j-invariant |
L |
7.3295551537116 |
L(r)(E,1)/r! |
Ω |
0.79231460625673 |
Real period |
R |
1.1563517660216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000265 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5565f2 |
Quadratic twists by: -4 |