Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600fi |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.0978063488E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1532833,748153537] |
[a1,a2,a3,a4,a6] |
Generators |
[-747:38416:1] |
Generators of the group modulo torsion |
j |
-3111705953492/85766121 |
j-invariant |
L |
5.0696170479709 |
L(r)(E,1)/r! |
Ω |
0.22678964278687 |
Real period |
R |
2.7942287099589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600dp2 8400bb2 100800op2 33600hg2 |
Quadratic twists by: -4 8 -3 5 |