Atkin-Lehner |
2- 3+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
33072n |
Isogeny class |
Conductor |
33072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3072363929856 = -1 · 28 · 32 · 132 · 534 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 -6 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12124,524764] |
[a1,a2,a3,a4,a6] |
Generators |
[85:-318:1] |
Generators of the group modulo torsion |
j |
-769940829233872/12001421601 |
j-invariant |
L |
2.3213406492479 |
L(r)(E,1)/r! |
Ω |
0.80161056388044 |
Real period |
R |
0.72396147014658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8268e2 99216be2 |
Quadratic twists by: -4 -3 |