Atkin-Lehner |
2- 3+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
9768n |
Isogeny class |
Conductor |
9768 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
22505472 = 211 · 33 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 11+ -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-468864,-123415380] |
[a1,a2,a3,a4,a6] |
Generators |
[-3056392751419101:-7620849334:7737719666139] |
Generators of the group modulo torsion |
j |
5565899381416019714/10989 |
j-invariant |
L |
3.6096771518593 |
L(r)(E,1)/r! |
Ω |
0.18244743220455 |
Real period |
R |
19.784751740504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19536p3 78144bk4 29304f4 107448e4 |
Quadratic twists by: -4 8 -3 -11 |