Atkin-Lehner |
2- 3+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
103824u |
Isogeny class |
Conductor |
103824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
-163712486448 = -1 · 24 · 39 · 72 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 2 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6480,-201717] |
[a1,a2,a3,a4,a6] |
j |
-95551488000/519841 |
j-invariant |
L |
2.1277692696222 |
L(r)(E,1)/r! |
Ω |
0.26597114833689 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25956d1 103824v1 |
Quadratic twists by: -4 -3 |