Atkin-Lehner |
2+ 3+ 5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8970c |
Isogeny class |
Conductor |
8970 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
128737440000 = 28 · 32 · 54 · 132 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1832,-25536] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:56:1] |
Generators of the group modulo torsion |
j |
680566353484681/128737440000 |
j-invariant |
L |
3.0200838638115 |
L(r)(E,1)/r! |
Ω |
0.73925233130409 |
Real period |
R |
1.0213305173093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
71760cd2 26910bf2 44850bu2 116610bl2 |
Quadratic twists by: -4 -3 5 13 |