Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10944by |
Isogeny class |
Conductor |
10944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
165435457536 = 214 · 312 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -2 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3324,71120] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:360:1] |
Generators of the group modulo torsion |
j |
340062928/13851 |
j-invariant |
L |
4.9629047433441 |
L(r)(E,1)/r! |
Ω |
1.0109811520797 |
Real period |
R |
2.4544991432999 |
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 |
10944bf2 2736u2 3648u2 |
Quadratic twists by: -4 8 -3 |