Atkin-Lehner |
2+ 3- 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
33936b |
Isogeny class |
Conductor |
33936 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
93283819776 = 28 · 36 · 72 · 1012 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3652,82460] |
[a1,a2,a3,a4,a6] |
j |
21047230999888/364389921 |
j-invariant |
L |
3.2144706497856 |
L(r)(E,1)/r! |
Ω |
1.0714902165925 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16968b2 101808j2 |
Quadratic twists by: -4 -3 |