Atkin-Lehner |
2+ 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16744d |
Isogeny class |
Conductor |
16744 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1121446144 = 28 · 72 · 132 · 232 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2791,56730] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:336:1] |
Generators of the group modulo torsion |
j |
9392111857872/4380649 |
j-invariant |
L |
3.9492899217923 |
L(r)(E,1)/r! |
Ω |
1.5239999975483 |
Real period |
R |
2.5913975906467 |
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 |
33488h2 117208d2 |
Quadratic twists by: -4 -7 |