Atkin-Lehner |
2+ 3- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
14382b |
Isogeny class |
Conductor |
14382 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
229376 |
Modular degree for the optimal curve |
Δ |
-3444832494610808832 = -1 · 232 · 310 · 172 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9684,-89299760] |
[a1,a2,a3,a4,a6] |
Generators |
[4775474:21660191:10648] |
Generators of the group modulo torsion |
j |
137763859017023/4725421803307008 |
j-invariant |
L |
4.2586761074857 |
L(r)(E,1)/r! |
Ω |
0.11544555126801 |
Real period |
R |
9.2222611887379 |
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 |
115056p1 4794e1 |
Quadratic twists by: -4 -3 |