Atkin-Lehner |
2+ 3+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
3096a |
Isogeny class |
Conductor |
3096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
74534639616 = 211 · 39 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 -6 -6 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1539,-19170] |
[a1,a2,a3,a4,a6] |
Generators |
[-190:505:8] |
Generators of the group modulo torsion |
j |
10000422/1849 |
j-invariant |
L |
3.7595696679959 |
L(r)(E,1)/r! |
Ω |
0.77196540072652 |
Real period |
R |
4.8701271643232 |
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 |
6192c2 24768h2 3096f2 77400z2 |
Quadratic twists by: -4 8 -3 5 |