Atkin-Lehner |
2- 3+ 7- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33558x |
Isogeny class |
Conductor |
33558 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
207801713112462 = 2 · 34 · 7 · 17 · 476 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 2 -6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-100653,12229509] |
[a1,a2,a3,a4,a6] |
j |
112772745326705388625/207801713112462 |
j-invariant |
L |
2.2531562666007 |
L(r)(E,1)/r! |
Ω |
0.56328906665198 |
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 |
100674r2 |
Quadratic twists by: -3 |