Atkin-Lehner |
2+ 3+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
14274a |
Isogeny class |
Conductor |
14274 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5402880 |
Modular degree for the optimal curve |
Δ |
-1.7177103634455E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 1 4 2 13+ -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8249256,-630505809088] |
[a1,a2,a3,a4,a6] |
Generators |
[9026604846135055983078366811:2542501870723934695421388652516:113377985454181590453583] |
Generators of the group modulo torsion |
j |
2299345653437864869440357/6361890234983207055392768 |
j-invariant |
L |
4.3571496301252 |
L(r)(E,1)/r! |
Ω |
0.02652830102247 |
Real period |
R |
41.06133320067 |
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 |
114192w1 14274m1 |
Quadratic twists by: -4 -3 |