Atkin-Lehner |
2+ 3- 71- |
Signs for the Atkin-Lehner involutions |
Class |
10224d |
Isogeny class |
Conductor |
10224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
101603331072 = 210 · 39 · 712 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -4 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4971,134026] |
[a1,a2,a3,a4,a6] |
Generators |
[35:54:1] |
Generators of the group modulo torsion |
j |
18198161572/136107 |
j-invariant |
L |
3.2850320216879 |
L(r)(E,1)/r! |
Ω |
1.0680843282789 |
Real period |
R |
0.76890745765866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5112b2 40896bx2 3408c2 |
Quadratic twists by: -4 8 -3 |