Atkin-Lehner |
2- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
6256d |
Isogeny class |
Conductor |
6256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-12812288 = -1 · 215 · 17 · 23 |
Discriminant |
Eigenvalues |
2- -1 -4 -3 -6 6 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-960,11776] |
[a1,a2,a3,a4,a6] |
Generators |
[16:16:1] |
Generators of the group modulo torsion |
j |
-23912763841/3128 |
j-invariant |
L |
1.7260884854975 |
L(r)(E,1)/r! |
Ω |
2.1633650403688 |
Real period |
R |
0.19946801086368 |
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 |
782b1 25024l1 56304bs1 106352i1 |
Quadratic twists by: -4 8 -3 17 |