Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10944bx |
Isogeny class |
Conductor |
10944 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
336213867626496 = 217 · 39 · 194 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45804,3668560] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:2160:1] |
Generators of the group modulo torsion |
j |
111223479026/3518667 |
j-invariant |
L |
5.1457619272906 |
L(r)(E,1)/r! |
Ω |
0.53794472616098 |
Real period |
R |
2.3913990030226 |
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 |
10944be3 2736j3 3648bg3 |
Quadratic twists by: -4 8 -3 |