Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12880q |
Isogeny class |
Conductor |
12880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
12622400000000 = 212 · 58 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-673403,-212696598] |
[a1,a2,a3,a4,a6] |
Generators |
[34077:831250:27] |
Generators of the group modulo torsion |
j |
8244966675515989329/3081640625 |
j-invariant |
L |
4.4470206244001 |
L(r)(E,1)/r! |
Ω |
0.16665977942899 |
Real period |
R |
4.4472043981223 |
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 |
805c4 51520cg4 115920fi4 64400bj4 |
Quadratic twists by: -4 8 -3 5 |