Atkin-Lehner |
2+ 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33120j |
Isogeny class |
Conductor |
33120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
80481600 = 26 · 37 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-813,8912] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:90:1] [19:-18:1] |
Generators of the group modulo torsion |
j |
1273760704/1725 |
j-invariant |
L |
7.2066779091776 |
L(r)(E,1)/r! |
Ω |
1.9227723118679 |
Real period |
R |
0.93701654958007 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33120m1 66240fs2 11040k1 |
Quadratic twists by: -4 8 -3 |