Atkin-Lehner |
3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17745i |
Isogeny class |
Conductor |
17745 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-7657669259151916095 = -1 · 320 · 5 · 7 · 137 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,202205,128541512] |
[a1,a2,a3,a4,a6] |
Generators |
[3135:333047:27] |
Generators of the group modulo torsion |
j |
189425802193991/1586486902455 |
j-invariant |
L |
3.0584701917817 |
L(r)(E,1)/r! |
Ω |
0.17135717130632 |
Real period |
R |
8.9242550179424 |
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 |
53235s3 88725bm3 124215cd3 1365a4 |
Quadratic twists by: -3 5 -7 13 |