Atkin-Lehner |
2- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
12880m |
Isogeny class |
Conductor |
12880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7863129128960 = 214 · 5 · 73 · 234 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 0 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-585563,-172467958] |
[a1,a2,a3,a4,a6] |
Generators |
[171093:13515346:27] |
Generators of the group modulo torsion |
j |
5421065386069310769/1919709260 |
j-invariant |
L |
3.5641128960171 |
L(r)(E,1)/r! |
Ω |
0.17258623598865 |
Real period |
R |
10.325600056112 |
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 |
1610c3 51520cb4 115920dz4 64400bn4 |
Quadratic twists by: -4 8 -3 5 |