Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33120bc |
Isogeny class |
Conductor |
33120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-8584704000 = -1 · 212 · 36 · 53 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 2 -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1128,15248] |
[a1,a2,a3,a4,a6] |
Generators |
[16:-36:1] |
Generators of the group modulo torsion |
j |
-53157376/2875 |
j-invariant |
L |
4.7008047744122 |
L(r)(E,1)/r! |
Ω |
1.2892192874787 |
Real period |
R |
0.91156035673447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33120l1 66240cl1 3680c1 |
Quadratic twists by: -4 8 -3 |