Atkin-Lehner |
2- 3+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
22512o |
Isogeny class |
Conductor |
22512 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1149616133800759296 = 212 · 312 · 76 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-299712,36532800] |
[a1,a2,a3,a4,a6] |
Generators |
[122:1330:1] |
Generators of the group modulo torsion |
j |
726904920233564353/280668001416201 |
j-invariant |
L |
5.8647507691222 |
L(r)(E,1)/r! |
Ω |
0.25007418102897 |
Real period |
R |
3.9086740482303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1407c2 90048cb2 67536bw2 |
Quadratic twists by: -4 8 -3 |