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 |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
5170135040000 = 220 · 54 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 0 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4763,63562] |
[a1,a2,a3,a4,a6] |
Generators |
[111:950:1] |
Generators of the group modulo torsion |
j |
2917464019569/1262240000 |
j-invariant |
L |
3.5641128960171 |
L(r)(E,1)/r! |
Ω |
0.69034494395459 |
Real period |
R |
2.581400014028 |
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 |
1610c1 51520cb1 115920dz1 64400bn1 |
Quadratic twists by: -4 8 -3 5 |