Atkin-Lehner |
3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
14703g |
Isogeny class |
Conductor |
14703 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
17245363172661 = 36 · 138 · 29 |
Discriminant |
Eigenvalues |
0 3- 3 0 2 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-46869,-3916051] |
[a1,a2,a3,a4,a6] |
Generators |
[-129:1:1] |
Generators of the group modulo torsion |
j |
13958643712/21141 |
j-invariant |
L |
5.9433879005404 |
L(r)(E,1)/r! |
Ω |
0.32450161610586 |
Real period |
R |
3.0525723168261 |
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 |
44109q1 14703h1 |
Quadratic twists by: -3 13 |