Atkin-Lehner |
2+ 5+ |
Signs for the Atkin-Lehner involutions |
Class |
1600f |
Isogeny class |
Conductor |
1600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
320000000 = 212 · 57 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 4 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-633,5863] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:100:1] |
Generators of the group modulo torsion |
j |
438976/5 |
j-invariant |
L |
2.1810479905123 |
L(r)(E,1)/r! |
Ω |
1.7239807259965 |
Real period |
R |
0.63256159353279 |
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 |
1600e2 800g1 14400bd2 320d2 |
Quadratic twists by: -4 8 -3 5 |