Atkin-Lehner |
2- 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
8892n |
Isogeny class |
Conductor |
8892 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2592 |
Modular degree for the optimal curve |
Δ |
-1040043888 = -1 · 24 · 36 · 13 · 193 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 13- 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-165,1753] |
[a1,a2,a3,a4,a6] |
Generators |
[32:171:1] |
Generators of the group modulo torsion |
j |
-42592000/89167 |
j-invariant |
L |
4.759983132157 |
L(r)(E,1)/r! |
Ω |
1.3840292986101 |
Real period |
R |
0.57320356066369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35568by1 988d1 115596l1 |
Quadratic twists by: -4 -3 13 |