Atkin-Lehner |
2+ 3+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
39648b |
Isogeny class |
Conductor |
39648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
72759472128 = 212 · 36 · 7 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ -4 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2161,37153] |
[a1,a2,a3,a4,a6] |
j |
272601987904/17763543 |
j-invariant |
L |
2.1457032048784 |
L(r)(E,1)/r! |
Ω |
1.0728516023994 |
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 |
39648e2 79296bz1 118944t2 |
Quadratic twists by: -4 8 -3 |