Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
3360z |
Isogeny class |
Conductor |
3360 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
3969000000 = 26 · 34 · 56 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5250,144648] |
[a1,a2,a3,a4,a6] |
Generators |
[21:210:1] |
Generators of the group modulo torsion |
j |
250094631024064/62015625 |
j-invariant |
L |
4.2240075998602 |
L(r)(E,1)/r! |
Ω |
1.3576953623852 |
Real period |
R |
0.51852667847857 |
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 |
3360f1 6720h2 10080r1 16800f1 |
Quadratic twists by: -4 8 -3 5 |