Atkin-Lehner |
2+ 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
33840q |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
10657163520 = 28 · 311 · 5 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-171327,-27295234] |
[a1,a2,a3,a4,a6] |
j |
2980119295136464/57105 |
j-invariant |
L |
3.7545948944862 |
L(r)(E,1)/r! |
Ω |
0.23466218090552 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16920p1 11280b1 |
Quadratic twists by: -4 -3 |