Atkin-Lehner |
2- 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
6660d |
Isogeny class |
Conductor |
6660 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
1769698530000 = 24 · 314 · 54 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69132,6995981] |
[a1,a2,a3,a4,a6] |
j |
3132662187311104/151723125 |
j-invariant |
L |
3.1570542408979 |
L(r)(E,1)/r! |
Ω |
0.78926356022446 |
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 |
26640bw1 106560cf1 2220b1 33300s1 |
Quadratic twists by: -4 8 -3 5 |