Atkin-Lehner |
2+ 3+ 5- 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
42330d |
Isogeny class |
Conductor |
42330 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
286692624000000 = 210 · 32 · 56 · 172 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-45477,3623949] |
[a1,a2,a3,a4,a6] |
Generators |
[3:1866:1] |
Generators of the group modulo torsion |
j |
10401933106978815961/286692624000000 |
j-invariant |
L |
3.9179963948373 |
L(r)(E,1)/r! |
Ω |
0.54612103664723 |
Real period |
R |
1.1957045330973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
126990bt2 |
Quadratic twists by: -3 |