Atkin-Lehner |
2- 3+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17112j |
Isogeny class |
Conductor |
17112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1360198656 = 210 · 34 · 232 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 4 -2 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-592,-5060] |
[a1,a2,a3,a4,a6] |
Generators |
[70:540:1] |
Generators of the group modulo torsion |
j |
22445137732/1328319 |
j-invariant |
L |
4.4435671094917 |
L(r)(E,1)/r! |
Ω |
0.97131787245578 |
Real period |
R |
2.2873907891024 |
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 |
34224l2 51336d2 |
Quadratic twists by: -4 -3 |