Atkin-Lehner |
2+ 3+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
9768h |
Isogeny class |
Conductor |
9768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4579863552 = 210 · 33 · 112 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -2 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-440,-1284] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:44:1] |
Generators of the group modulo torsion |
j |
9220796644/4472523 |
j-invariant |
L |
2.058606898858 |
L(r)(E,1)/r! |
Ω |
1.0942115694639 |
Real period |
R |
0.94068046633186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19536m2 78144bd2 29304n2 107448v2 |
Quadratic twists by: -4 8 -3 -11 |