Atkin-Lehner |
2+ 3- 59- |
Signs for the Atkin-Lehner involutions |
Class |
1062f |
Isogeny class |
Conductor |
1062 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2013465019372259328 = -1 · 211 · 324 · 592 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 4 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-119439,70124269] |
[a1,a2,a3,a4,a6] |
Generators |
[599:14303:1] |
Generators of the group modulo torsion |
j |
-258485808917791729/2761954759084032 |
j-invariant |
L |
1.6221346961937 |
L(r)(E,1)/r! |
Ω |
0.22310556505661 |
Real period |
R |
3.6353523852757 |
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 |
8496t2 33984r2 354e2 26550bs2 |
Quadratic twists by: -4 8 -3 5 |