Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
10560t |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
100362240000 = 214 · 34 · 54 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13201,579215] |
[a1,a2,a3,a4,a6] |
Generators |
[17:600:1] |
Generators of the group modulo torsion |
j |
15529488955216/6125625 |
j-invariant |
L |
5.1927789725645 |
L(r)(E,1)/r! |
Ω |
1.0452840960706 |
Real period |
R |
1.2419539798044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10560bh2 1320h2 31680bf2 52800x2 |
Quadratic twists by: -4 8 -3 5 |