Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
10560bk |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-63360000 = -1 · 210 · 32 · 54 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,99,-99] |
[a1,a2,a3,a4,a6] |
j |
103737344/61875 |
j-invariant |
L |
2.2944018606138 |
L(r)(E,1)/r! |
Ω |
1.1472009303069 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10560x1 2640n1 31680ed1 52800go1 |
Quadratic twists by: -4 8 -3 5 |