Atkin-Lehner |
3+ 7- 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
128037f |
Isogeny class |
Conductor |
128037 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
39360729558969 = 32 · 78 · 132 · 672 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 4 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-42729,3368406] |
[a1,a2,a3,a4,a6] |
Generators |
[-218:1652:1] |
Generators of the group modulo torsion |
j |
73333817649793/334560681 |
j-invariant |
L |
3.0822731089239 |
L(r)(E,1)/r! |
Ω |
0.64992364113162 |
Real period |
R |
2.3712578193972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000024928 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18291e2 |
Quadratic twists by: -7 |