Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
10560bo |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-280633163120640 = -1 · 234 · 33 · 5 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16319,-81695] |
[a1,a2,a3,a4,a6] |
Generators |
[138:3619:8] |
Generators of the group modulo torsion |
j |
1833318007919/1070530560 |
j-invariant |
L |
3.2944706597053 |
L(r)(E,1)/r! |
Ω |
0.32378010721904 |
Real period |
R |
5.0875124602337 |
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 |
10560q1 2640v1 31680dh1 52800gu1 |
Quadratic twists by: -4 8 -3 5 |