Atkin-Lehner |
2+ 5+ |
Signs for the Atkin-Lehner involutions |
Class |
1600g |
Isogeny class |
Conductor |
1600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2000000000 = 210 · 59 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4133,-103637] |
[a1,a2,a3,a4,a6] |
Generators |
[143:1500:1] |
Generators of the group modulo torsion |
j |
488095744/125 |
j-invariant |
L |
2.0075427510977 |
L(r)(E,1)/r! |
Ω |
0.59543056102348 |
Real period |
R |
1.68579082307 |
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 |
1600r3 100a3 14400bf3 320c3 |
Quadratic twists by: -4 8 -3 5 |