Atkin-Lehner |
2+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12880i |
Isogeny class |
Conductor |
12880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
103040000 = 210 · 54 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 2 -4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-120,100] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:20:1] |
Generators of the group modulo torsion |
j |
188183524/100625 |
j-invariant |
L |
3.415797937159 |
L(r)(E,1)/r! |
Ω |
1.6512632863296 |
Real period |
R |
0.51714919804697 |
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 |
6440j1 51520bt1 115920bb1 64400k1 |
Quadratic twists by: -4 8 -3 5 |