Atkin-Lehner |
2+ 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
14352a |
Isogeny class |
Conductor |
14352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
990288 = 24 · 32 · 13 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 4 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27,-18] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:9:8] |
Generators of the group modulo torsion |
j |
141150208/61893 |
j-invariant |
L |
5.2882843212185 |
L(r)(E,1)/r! |
Ω |
2.1737530380946 |
Real period |
R |
2.432789847118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7176d1 57408do1 43056f1 |
Quadratic twists by: -4 8 -3 |