Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
10560bp |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
55364812800 = 226 · 3 · 52 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1441,18241] |
[a1,a2,a3,a4,a6] |
Generators |
[11:60:1] |
Generators of the group modulo torsion |
j |
1263214441/211200 |
j-invariant |
L |
4.1688225543097 |
L(r)(E,1)/r! |
Ω |
1.0671215317531 |
Real period |
R |
1.953302613743 |
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 |
10560s1 2640w1 31680dn1 52800hg1 |
Quadratic twists by: -4 8 -3 5 |