Atkin-Lehner |
2+ 3+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
22776a |
Isogeny class |
Conductor |
22776 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-33172780462848 = -1 · 28 · 33 · 132 · 734 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 -2 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22948,1374100] |
[a1,a2,a3,a4,a6] |
Generators |
[114:476:1] |
Generators of the group modulo torsion |
j |
-5220801671218000/129581173683 |
j-invariant |
L |
5.104482579316 |
L(r)(E,1)/r! |
Ω |
0.65479115660325 |
Real period |
R |
3.8977943790472 |
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 |
45552e2 68328e2 |
Quadratic twists by: -4 -3 |