Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360bz |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-635980800 = -1 · 210 · 3 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 13+ 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21,-1221] |
[a1,a2,a3,a4,a6] |
j |
-1048576/621075 |
j-invariant |
L |
2.9173962061922 |
L(r)(E,1)/r! |
Ω |
0.72934906598415 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360ep1 5460b1 |
Quadratic twists by: -4 8 |