Atkin-Lehner |
2- 3- 7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
128478cq |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.4657067177617E+33 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-28624842247,-286229799210727] |
[a1,a2,a3,a4,a6] |
Generators |
[-112192:38954501:1] |
Generators of the group modulo torsion |
j |
22047775488403890529761445244257/12458301538998671409274874352 |
j-invariant |
L |
16.216198880438 |
L(r)(E,1)/r! |
Ω |
0.012509999697712 |
Real period |
R |
6.7513486288879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999934839 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18354t4 |
Quadratic twists by: -7 |