Atkin-Lehner |
2+ 3+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
43992a |
Isogeny class |
Conductor |
43992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
54902016 = 28 · 33 · 132 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -3 3 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-108,244] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:18:1] [-6:26:1] |
Generators of the group modulo torsion |
j |
20155392/7943 |
j-invariant |
L |
8.4260038073021 |
L(r)(E,1)/r! |
Ω |
1.8087883561465 |
Real period |
R |
0.29114806946143 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87984a1 43992g1 |
Quadratic twists by: -4 -3 |