Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
3360s |
Isogeny class |
Conductor |
3360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4702924800 = 212 · 38 · 52 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1041,12159] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:108:1] |
Generators of the group modulo torsion |
j |
30488290624/1148175 |
j-invariant |
L |
3.7880303406789 |
L(r)(E,1)/r! |
Ω |
1.3618991819288 |
Real period |
R |
0.69535806889063 |
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 |
3360n2 6720bo1 10080w2 16800h3 |
Quadratic twists by: -4 8 -3 5 |