Atkin-Lehner |
2- 5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52360j |
Isogeny class |
Conductor |
52360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3225376000000 = 211 · 56 · 72 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35083,2527782] |
[a1,a2,a3,a4,a6] |
Generators |
[122:252:1] |
Generators of the group modulo torsion |
j |
2331760441506498/1574890625 |
j-invariant |
L |
4.918998296702 |
L(r)(E,1)/r! |
Ω |
0.78882217867803 |
Real period |
R |
3.1179386366522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104720b2 |
Quadratic twists by: -4 |