Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27342j |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8.3096231374345E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-144693873,-669884273955] |
[a1,a2,a3,a4,a6] |
Generators |
[-4588622394135:2045992431900:660776311] |
Generators of the group modulo torsion |
j |
3906235026100294102657/968870113344 |
j-invariant |
L |
2.7936993708304 |
L(r)(E,1)/r! |
Ω |
0.043529835467203 |
Real period |
R |
16.044738860404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9114y4 3906h4 |
Quadratic twists by: -3 -7 |