Atkin-Lehner |
2+ 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16744d |
Isogeny class |
Conductor |
16744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-407448496 = -1 · 24 · 7 · 13 · 234 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-146,1185] |
[a1,a2,a3,a4,a6] |
Generators |
[-213:1160:27] |
Generators of the group modulo torsion |
j |
-21511084032/25465531 |
j-invariant |
L |
3.9492899217923 |
L(r)(E,1)/r! |
Ω |
1.5239999975483 |
Real period |
R |
5.1827951812933 |
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 |
33488h1 117208d1 |
Quadratic twists by: -4 -7 |