Atkin-Lehner |
2- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
14440g |
Isogeny class |
Conductor |
14440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
170240 |
Modular degree for the optimal curve |
Δ |
-413040253157120000 = -1 · 211 · 54 · 199 |
Discriminant |
Eigenvalues |
2- -1 5- 1 2 1 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-592160,178293100] |
[a1,a2,a3,a4,a6] |
Generators |
[2650:34295:8] |
Generators of the group modulo torsion |
j |
-34747958/625 |
j-invariant |
L |
4.3904028750408 |
L(r)(E,1)/r! |
Ω |
0.29931497741977 |
Real period |
R |
1.8335212093661 |
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 |
28880c1 115520a1 129960k1 72200b1 |
Quadratic twists by: -4 8 -3 5 |