Atkin-Lehner |
7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
14651j |
Isogeny class |
Conductor |
14651 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
528 |
Modular degree for the optimal curve |
Δ |
-14651 = -1 · 72 · 13 · 23 |
Discriminant |
Eigenvalues |
-1 1 -2 7- -3 13+ 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6,-1] |
[a1,a2,a3,a4,a6] |
Generators |
[1:2:1] |
Generators of the group modulo torsion |
j |
482447/299 |
j-invariant |
L |
2.5085326980585 |
L(r)(E,1)/r! |
Ω |
2.2787865426951 |
Real period |
R |
1.1008195155882 |
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 |
14651b1 |
Quadratic twists by: -7 |