Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6960z |
Isogeny class |
Conductor |
6960 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
3406050000 = 24 · 34 · 55 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-84365,9459912] |
[a1,a2,a3,a4,a6] |
Generators |
[164:90:1] |
Generators of the group modulo torsion |
j |
4150455958484156416/212878125 |
j-invariant |
L |
3.3523319140906 |
L(r)(E,1)/r! |
Ω |
1.0563510223571 |
Real period |
R |
0.63470036818071 |
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 |
1740f1 27840ds1 20880cb1 34800cx1 |
Quadratic twists by: -4 8 -3 5 |