Atkin-Lehner |
2- 3+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
17112h |
Isogeny class |
Conductor |
17112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-50925312 = -1 · 28 · 32 · 23 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,92,-92] |
[a1,a2,a3,a4,a6] |
Generators |
[4:18:1] |
Generators of the group modulo torsion |
j |
332750000/198927 |
j-invariant |
L |
4.7667781070618 |
L(r)(E,1)/r! |
Ω |
1.1672977499282 |
Real period |
R |
1.0209002174799 |
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 |
34224m2 51336k2 |
Quadratic twists by: -4 -3 |