Atkin-Lehner |
2- 3- 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
6882k |
Isogeny class |
Conductor |
6882 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-2642688 = -1 · 28 · 32 · 31 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 3 -4 -7 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-88,320] |
[a1,a2,a3,a4,a6] |
Generators |
[8:8:1] |
Generators of the group modulo torsion |
j |
-75418890625/2642688 |
j-invariant |
L |
7.2429268864509 |
L(r)(E,1)/r! |
Ω |
2.546033007882 |
Real period |
R |
0.177799317213 |
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 |
55056n1 20646j1 |
Quadratic twists by: -4 -3 |