Atkin-Lehner |
2- 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
21756k |
Isogeny class |
Conductor |
21756 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6480 |
Modular degree for the optimal curve |
Δ |
-4264176 = -1 · 24 · 3 · 74 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 6 4 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-114,-519] |
[a1,a2,a3,a4,a6] |
j |
-4302592/111 |
j-invariant |
L |
2.1866842019585 |
L(r)(E,1)/r! |
Ω |
0.72889473398619 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87024bw1 65268d1 21756h1 |
Quadratic twists by: -4 -3 -7 |