Atkin-Lehner |
2- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6448j |
Isogeny class |
Conductor |
6448 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-333936194271739904 = -1 · 215 · 139 · 312 |
Discriminant |
Eigenvalues |
2- -1 3 1 0 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36697744,85579407296] |
[a1,a2,a3,a4,a6] |
Generators |
[3490:806:1] |
Generators of the group modulo torsion |
j |
-1334387227199873180280337/81527391179624 |
j-invariant |
L |
4.1627073197994 |
L(r)(E,1)/r! |
Ω |
0.22959924929695 |
Real period |
R |
0.5036199344614 |
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 |
806e3 25792v3 58032bl3 83824ba3 |
Quadratic twists by: -4 8 -3 13 |