Atkin-Lehner |
2- 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
42640f |
Isogeny class |
Conductor |
42640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
283811840000 = 216 · 54 · 132 · 41 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 2 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1776,13760] |
[a1,a2,a3,a4,a6] |
Generators |
[458:9750:1] |
Generators of the group modulo torsion |
j |
151334226289/69290000 |
j-invariant |
L |
8.9958244774483 |
L(r)(E,1)/r! |
Ω |
0.87380709778137 |
Real period |
R |
2.57374439401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5330d1 |
Quadratic twists by: -4 |