Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
21780r |
Isogeny class |
Conductor |
21780 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
6209913600 = 28 · 36 · 52 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ -4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13167,581526] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:836:1] [-33:990:1] |
Generators of the group modulo torsion |
j |
1016339184/25 |
j-invariant |
L |
7.3138694178095 |
L(r)(E,1)/r! |
Ω |
1.2427880502589 |
Real period |
R |
0.98084161337703 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87120fg2 2420b2 108900bf2 21780o2 |
Quadratic twists by: -4 -3 5 -11 |