Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21420p |
Isogeny class |
Conductor |
21420 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-5041030695634080000 = -1 · 28 · 38 · 54 · 710 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,358737,-69494938] |
[a1,a2,a3,a4,a6] |
j |
27358024514264624/27011695685625 |
j-invariant |
L |
2.6430155160991 |
L(r)(E,1)/r! |
Ω |
0.13215077580495 |
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 |
85680dt2 7140h2 107100bh2 |
Quadratic twists by: -4 -3 5 |