Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4896o |
Isogeny class |
Conductor |
4896 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-862949376 = -1 · 212 · 36 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-156,1600] |
[a1,a2,a3,a4,a6] |
Generators |
[2:36:1] |
Generators of the group modulo torsion |
j |
-140608/289 |
j-invariant |
L |
3.1044386875619 |
L(r)(E,1)/r! |
Ω |
1.4065271812975 |
Real period |
R |
0.55179144933019 |
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 |
4896n2 9792bo1 544c2 122400be2 |
Quadratic twists by: -4 8 -3 5 |