Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21216m |
Isogeny class |
Conductor |
21216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-155810304 = -1 · 29 · 34 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -2 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,88,540] |
[a1,a2,a3,a4,a6] |
Generators |
[63:510:1] |
Generators of the group modulo torsion |
j |
145531576/304317 |
j-invariant |
L |
7.1281704057791 |
L(r)(E,1)/r! |
Ω |
1.2625180517057 |
Real period |
R |
2.822997420175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21216a2 42432h2 63648h2 |
Quadratic twists by: -4 8 -3 |