Atkin-Lehner |
2- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
39884b |
Isogeny class |
Conductor |
39884 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-4556507696 = -1 · 24 · 136 · 59 |
Discriminant |
Eigenvalues |
2- 1 -3 1 -6 13+ -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1577,23804] |
[a1,a2,a3,a4,a6] |
Generators |
[56:338:1] |
Generators of the group modulo torsion |
j |
-5619712/59 |
j-invariant |
L |
3.9024417655966 |
L(r)(E,1)/r! |
Ω |
1.3823138845172 |
Real period |
R |
1.4115613715905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
236b1 |
Quadratic twists by: 13 |