Atkin-Lehner |
2+ 3+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
22512c |
Isogeny class |
Conductor |
22512 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4561111296 = 28 · 34 · 72 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 4 -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1412,20640] |
[a1,a2,a3,a4,a6] |
j |
1217013440848/17816841 |
j-invariant |
L |
1.3796069019231 |
L(r)(E,1)/r! |
Ω |
1.3796069019231 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11256e2 90048bp2 67536q2 |
Quadratic twists by: -4 8 -3 |