Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32760b |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1999872 |
Modular degree for the optimal curve |
Δ |
-1.324333749375E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4656123,-6753539322] |
[a1,a2,a3,a4,a6] |
Generators |
[6639213909919074:795937996086627744:451041199309] |
Generators of the group modulo torsion |
j |
-553867390580563692/657061767578125 |
j-invariant |
L |
4.9064847441063 |
L(r)(E,1)/r! |
Ω |
0.049150312236776 |
Real period |
R |
24.956528864302 |
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 |
65520d1 32760y1 |
Quadratic twists by: -4 -3 |