Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296be |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
179493470208 = 216 · 36 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 4 2 -2 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10188,-395280] |
[a1,a2,a3,a4,a6] |
Generators |
[11460:120105:64] |
Generators of the group modulo torsion |
j |
2447840196/3757 |
j-invariant |
L |
10.886500756028 |
L(r)(E,1)/r! |
Ω |
0.47524477787503 |
Real period |
R |
5.7267861676984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999885368 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296dg2 15912o2 14144l2 |
Quadratic twists by: -4 8 -3 |