Atkin-Lehner |
2- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12880z |
Isogeny class |
Conductor |
12880 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-3628940000000 = -1 · 28 · 57 · 73 · 232 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -5 1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2995,-65497] |
[a1,a2,a3,a4,a6] |
Generators |
[131:1610:1] |
Generators of the group modulo torsion |
j |
11601902526464/14175546875 |
j-invariant |
L |
5.7109656549293 |
L(r)(E,1)/r! |
Ω |
0.42284305999433 |
Real period |
R |
0.16078704559824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3220b1 51520bw1 115920dq1 64400bf1 |
Quadratic twists by: -4 8 -3 5 |