Atkin-Lehner |
2- 5- |
Signs for the Atkin-Lehner involutions |
Class |
1600w |
Isogeny class |
Conductor |
1600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
2000000000 = 210 · 59 |
Discriminant |
Eigenvalues |
2- 2 5- -2 -4 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-333,1037] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:12:1] |
Generators of the group modulo torsion |
j |
2048 |
j-invariant |
L |
3.4734234953025 |
L(r)(E,1)/r! |
Ω |
1.3097527636148 |
Real period |
R |
2.6519688232734 |
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 |
1600m1 400f1 14400ex1 1600x1 |
Quadratic twists by: -4 8 -3 5 |