Atkin-Lehner |
2- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
14896z |
Isogeny class |
Conductor |
14896 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
-292989304832 = -1 · 217 · 76 · 19 |
Discriminant |
Eigenvalues |
2- -1 4 7- -2 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,26048] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:160:1] |
Generators of the group modulo torsion |
j |
-1/608 |
j-invariant |
L |
4.9844070438082 |
L(r)(E,1)/r! |
Ω |
0.77411435990696 |
Real period |
R |
1.6097127575593 |
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 |
1862f1 59584cx1 304a1 |
Quadratic twists by: -4 8 -7 |