Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
112800cb |
Isogeny class |
Conductor |
112800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
9024000000 = 212 · 3 · 56 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 3 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4733,-126837] |
[a1,a2,a3,a4,a6] |
Generators |
[-364371:45044:9261] |
Generators of the group modulo torsion |
j |
183250432/141 |
j-invariant |
L |
8.8572478721456 |
L(r)(E,1)/r! |
Ω |
0.57560935260517 |
Real period |
R |
7.6938012300377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999796278 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112800l1 4512e1 |
Quadratic twists by: -4 5 |