Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
43120bk |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
20425393248722000 = 24 · 53 · 78 · 116 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11+ 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-121781,-14882750] |
[a1,a2,a3,a4,a6] |
Generators |
[-47257212:68818687:314432] |
Generators of the group modulo torsion |
j |
106110329552896/10850811125 |
j-invariant |
L |
3.0747810976074 |
L(r)(E,1)/r! |
Ω |
0.25725303771059 |
Real period |
R |
11.95236069894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999753 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10780h1 6160i1 |
Quadratic twists by: -4 -7 |