Atkin-Lehner |
2- 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
21024k |
Isogeny class |
Conductor |
21024 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
429632335872 = 212 · 39 · 732 |
Discriminant |
Eigenvalues |
2- 3- -4 2 0 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2172,-22880] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:108:1] |
Generators of the group modulo torsion |
j |
379503424/143883 |
j-invariant |
L |
4.4244668771189 |
L(r)(E,1)/r! |
Ω |
0.72196147913083 |
Real period |
R |
0.76604967941736 |
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 |
21024d2 42048m1 7008e2 |
Quadratic twists by: -4 8 -3 |