Atkin-Lehner |
2- 3+ 7- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33558y |
Isogeny class |
Conductor |
33558 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
75706848 = 25 · 32 · 7 · 17 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 6 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-182783,-30154363] |
[a1,a2,a3,a4,a6] |
j |
675353669427614976625/75706848 |
j-invariant |
L |
4.6179113094423 |
L(r)(E,1)/r! |
Ω |
0.23089556547177 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100674s2 |
Quadratic twists by: -3 |