Atkin-Lehner |
2+ 7- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
59878k |
Isogeny class |
Conductor |
59878 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
82055347302656 = 28 · 79 · 132 · 47 |
Discriminant |
Eigenvalues |
2+ -2 2 7- 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13060,-375294] |
[a1,a2,a3,a4,a6] |
Generators |
[144:785:1] |
Generators of the group modulo torsion |
j |
2093713241257/697458944 |
j-invariant |
L |
3.5147497442752 |
L(r)(E,1)/r! |
Ω |
0.45855497449148 |
Real period |
R |
1.9162095820891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000383 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8554b1 |
Quadratic twists by: -7 |