Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
3360s |
Isogeny class |
Conductor |
3360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
158760000 = 26 · 34 · 54 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-166,-616] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:12:1] |
Generators of the group modulo torsion |
j |
7952095936/2480625 |
j-invariant |
L |
3.7880303406789 |
L(r)(E,1)/r! |
Ω |
1.3618991819288 |
Real period |
R |
1.3907161377813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3360n1 6720bo2 10080w1 16800h1 |
Quadratic twists by: -4 8 -3 5 |