Atkin-Lehner |
2- 3+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
21648p |
Isogeny class |
Conductor |
21648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2677579812864 = -1 · 212 · 32 · 116 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 11+ 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2168,-69200] |
[a1,a2,a3,a4,a6] |
Generators |
[314:5610:1] |
Generators of the group modulo torsion |
j |
275005425527/653706009 |
j-invariant |
L |
4.3003404291974 |
L(r)(E,1)/r! |
Ω |
0.41847819485629 |
Real period |
R |
5.1380698947459 |
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 |
1353d2 86592dq2 64944bo2 |
Quadratic twists by: -4 8 -3 |