Atkin-Lehner |
5+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
14575c |
Isogeny class |
Conductor |
14575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-482796875 = -1 · 56 · 11 · 532 |
Discriminant |
Eigenvalues |
-2 -1 5+ 0 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,142,-882] |
[a1,a2,a3,a4,a6] |
Generators |
[8:26:1] |
Generators of the group modulo torsion |
j |
20123648/30899 |
j-invariant |
L |
1.466615783876 |
L(r)(E,1)/r! |
Ω |
0.87721781258358 |
Real period |
R |
0.83594733419547 |
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 |
583a1 |
Quadratic twists by: 5 |