Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
3360z |
Isogeny class |
Conductor |
3360 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
-8065516032000 = -1 · 212 · 38 · 53 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4625,181023] |
[a1,a2,a3,a4,a6] |
Generators |
[211:-2940:1] |
Generators of the group modulo torsion |
j |
-2671731885376/1969120125 |
j-invariant |
L |
4.2240075998602 |
L(r)(E,1)/r! |
Ω |
0.67884768119261 |
Real period |
R |
0.25926333923928 |
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 |
3360f4 6720h1 10080r4 16800f4 |
Quadratic twists by: -4 8 -3 5 |