Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042do |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
16628920019712 = 28 · 33 · 76 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 11- 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1806190,934164356] |
[a1,a2,a3,a4,a6] |
Generators |
[788:-982:1] |
Generators of the group modulo torsion |
j |
5538928862777598289/141343488 |
j-invariant |
L |
7.9948273168577 |
L(r)(E,1)/r! |
Ω |
0.5055564283778 |
Real period |
R |
0.32945660085637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126cc2 858i2 |
Quadratic twists by: -3 -7 |