Atkin-Lehner |
2+ 3- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
21462k |
Isogeny class |
Conductor |
21462 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
Δ |
484402807573272 = 23 · 33 · 78 · 733 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 -1 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-239636,-45159334] |
[a1,a2,a3,a4,a6] |
Generators |
[-282:250:1] |
Generators of the group modulo torsion |
j |
263993340837625/84027672 |
j-invariant |
L |
4.6368279787621 |
L(r)(E,1)/r! |
Ω |
0.21578440377643 |
Real period |
R |
0.79586089901897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64386bg2 21462c2 |
Quadratic twists by: -3 -7 |