Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6468j |
Isogeny class |
Conductor |
6468 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2.6542099461238E+21 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11- 7 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2938906,-1544818659] |
[a1,a2,a3,a4,a6] |
j |
1491325446082364672/1410025768453071 |
j-invariant |
L |
2.8323878872501 |
L(r)(E,1)/r! |
Ω |
0.078677441312503 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25872cr2 103488dn2 19404w2 924h2 |
Quadratic twists by: -4 8 -3 -7 |