Atkin-Lehner |
2+ 3+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
21648c |
Isogeny class |
Conductor |
21648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
99579414528 = 211 · 34 · 114 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2112,34848] |
[a1,a2,a3,a4,a6] |
j |
508957029506/48622761 |
j-invariant |
L |
2.0704549432788 |
L(r)(E,1)/r! |
Ω |
1.0352274716394 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10824l3 86592do4 64944v4 |
Quadratic twists by: -4 8 -3 |