Atkin-Lehner |
7+ 23- 103- |
Signs for the Atkin-Lehner involutions |
Class |
16583a |
Isogeny class |
Conductor |
16583 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2528 |
Modular degree for the optimal curve |
Δ |
-2669863 = -1 · 72 · 232 · 103 |
Discriminant |
Eigenvalues |
1 2 -2 7+ -2 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-51,-184] |
[a1,a2,a3,a4,a6] |
Generators |
[92142:287227:5832] |
Generators of the group modulo torsion |
j |
-15124197817/2669863 |
j-invariant |
L |
6.9073738096997 |
L(r)(E,1)/r! |
Ω |
0.882502028745 |
Real period |
R |
7.8270344823146 |
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 |
116081b1 |
Quadratic twists by: -7 |