Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
10560bk |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
23648993280 = 216 · 38 · 5 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4801,-126239] |
[a1,a2,a3,a4,a6] |
j |
186779563204/360855 |
j-invariant |
L |
2.2944018606138 |
L(r)(E,1)/r! |
Ω |
0.57360046515346 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10560x4 2640n3 31680ed4 52800go4 |
Quadratic twists by: -4 8 -3 5 |