Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12880q |
Isogeny class |
Conductor |
12880 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
159324981760000 = 212 · 54 · 76 · 232 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42283,-3290982] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:210:1] |
Generators of the group modulo torsion |
j |
2041085246738049/38897700625 |
j-invariant |
L |
4.4470206244001 |
L(r)(E,1)/r! |
Ω |
0.33331955885797 |
Real period |
R |
2.2236021990612 |
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 |
805c2 51520cg2 115920fi2 64400bj2 |
Quadratic twists by: -4 8 -3 5 |