Atkin-Lehner |
2+ 13+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
33592a |
Isogeny class |
Conductor |
33592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
76732727552 = 28 · 132 · 173 · 192 |
Discriminant |
Eigenvalues |
2+ 2 0 -2 -2 13+ 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1308,-11980] |
[a1,a2,a3,a4,a6] |
j |
967473250000/299737217 |
j-invariant |
L |
1.6260885186218 |
L(r)(E,1)/r! |
Ω |
0.8130442593083 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67184a1 |
Quadratic twists by: -4 |