Atkin-Lehner |
2- 5- 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
14570j |
Isogeny class |
Conductor |
14570 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-1.052933104E+21 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,37673,1561187951] |
[a1,a2,a3,a4,a6] |
Generators |
[-349:38974:1] |
Generators of the group modulo torsion |
j |
5913234966832125759/1052933104000000000000 |
j-invariant |
L |
7.2816142003042 |
L(r)(E,1)/r! |
Ω |
0.12315005879011 |
Real period |
R |
2.4636658289903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
116560v1 72850b1 |
Quadratic twists by: -4 5 |