Atkin-Lehner |
7+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
6083c |
Isogeny class |
Conductor |
6083 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
41552 |
Modular degree for the optimal curve |
Δ |
-1267833338081387 = -1 · 77 · 117 · 79 |
Discriminant |
Eigenvalues |
-1 -1 4 7+ 11- 3 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,11714,-1637274] |
[a1,a2,a3,a4,a6] |
j |
177761233013428511/1267833338081387 |
j-invariant |
L |
1.687290301004 |
L(r)(E,1)/r! |
Ω |
0.241041471572 |
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 |
97328bd1 54747d1 42581k1 66913g1 |
Quadratic twists by: -4 -3 -7 -11 |