Atkin-Lehner |
2- 3+ 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
33288i |
Isogeny class |
Conductor |
33288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1036853993392128 = -1 · 211 · 36 · 194 · 732 |
Discriminant |
Eigenvalues |
2- 3+ -4 2 0 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,22320,-875124] |
[a1,a2,a3,a4,a6] |
Generators |
[5813:443308:1] |
Generators of the group modulo torsion |
j |
600422381624158/506276363961 |
j-invariant |
L |
3.1190435641605 |
L(r)(E,1)/r! |
Ω |
0.27191214952896 |
Real period |
R |
5.7353883773927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66576l2 99864d2 |
Quadratic twists by: -4 -3 |