Atkin-Lehner |
2- 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33840cl |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
1096416000 = 28 · 36 · 53 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 5 5 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-927,10746] |
[a1,a2,a3,a4,a6] |
j |
472058064/5875 |
j-invariant |
L |
4.6654381280105 |
L(r)(E,1)/r! |
Ω |
1.5551460426701 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8460m1 3760k1 |
Quadratic twists by: -4 -3 |