Atkin-Lehner |
2- 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21420t |
Isogeny class |
Conductor |
21420 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-49663762689542400 = -1 · 28 · 38 · 52 · 72 · 176 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52527,11680454] |
[a1,a2,a3,a4,a6] |
j |
-85882368051664/266116698225 |
j-invariant |
L |
1.2536795105965 |
L(r)(E,1)/r! |
Ω |
0.31341987764911 |
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 |
85680fp2 7140c2 107100bs2 |
Quadratic twists by: -4 -3 5 |