Atkin-Lehner |
7+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
6083b |
Isogeny class |
Conductor |
6083 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1000 |
Modular degree for the optimal curve |
Δ |
-14605283 = -1 · 75 · 11 · 79 |
Discriminant |
Eigenvalues |
0 -1 0 7+ 11+ 7 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-43,-200] |
[a1,a2,a3,a4,a6] |
j |
-8998912000/14605283 |
j-invariant |
L |
0.88084538997165 |
L(r)(E,1)/r! |
Ω |
0.88084538997165 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97328bh1 54747k1 42581h1 66913f1 |
Quadratic twists by: -4 -3 -7 -11 |