Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
10560a |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
1239809250240 = 26 · 37 · 5 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14136,-639990] |
[a1,a2,a3,a4,a6] |
Generators |
[707459314:-29481117493:405224] |
Generators of the group modulo torsion |
j |
4881508724731456/19372019535 |
j-invariant |
L |
3.5279677343058 |
L(r)(E,1)/r! |
Ω |
0.43794445270852 |
Real period |
R |
16.11148497252 |
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 |
10560u1 5280q2 31680bs1 52800cb1 |
Quadratic twists by: -4 8 -3 5 |