Atkin-Lehner |
2- 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
57120cn |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
9992001600 = 26 · 32 · 52 · 74 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-630,3528] |
[a1,a2,a3,a4,a6] |
j |
432767422144/156125025 |
j-invariant |
L |
4.7232833985231 |
L(r)(E,1)/r! |
Ω |
1.1808208492479 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
57120bq1 114240gn2 |
Quadratic twists by: -4 8 |