Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
10560t |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
162201600 = 216 · 32 · 52 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-211201,37288415] |
[a1,a2,a3,a4,a6] |
Generators |
[281:456:1] |
Generators of the group modulo torsion |
j |
15897679904620804/2475 |
j-invariant |
L |
5.1927789725645 |
L(r)(E,1)/r! |
Ω |
1.0452840960706 |
Real period |
R |
2.4839079596088 |
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 |
10560bh3 1320h4 31680bf4 52800x4 |
Quadratic twists by: -4 8 -3 5 |