Atkin-Lehner |
2+ 3+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87984a |
Isogeny class |
Conductor |
87984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20480 |
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 |
[-7:13:1] |
Generators of the group modulo torsion |
j |
20155392/7943 |
j-invariant |
L |
6.834206113943 |
L(r)(E,1)/r! |
Ω |
1.5318527325271 |
Real period |
R |
1.1153497264824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013171 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43992a1 87984b1 |
Quadratic twists by: -4 -3 |