Atkin-Lehner |
2- 5- |
Signs for the Atkin-Lehner involutions |
Class |
1600x |
Isogeny class |
Conductor |
1600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
128 |
Modular degree for the optimal curve |
Δ |
128000 = 210 · 53 |
Discriminant |
Eigenvalues |
2- -2 5- 2 -4 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13,3] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:5:1] |
Generators of the group modulo torsion |
j |
2048 |
j-invariant |
L |
2.1536757205558 |
L(r)(E,1)/r! |
Ω |
2.9286962131608 |
Real period |
R |
0.73537013189614 |
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 |
1600l1 400d1 14400eq1 1600w1 |
Quadratic twists by: -4 8 -3 5 |