Atkin-Lehner |
2- 5- |
Signs for the Atkin-Lehner involutions |
Class |
1600w |
Isogeny class |
Conductor |
1600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
32000000000 = 214 · 59 |
Discriminant |
Eigenvalues |
2- 2 5- -2 -4 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2833,-56463] |
[a1,a2,a3,a4,a6] |
Generators |
[4467:298500:1] |
Generators of the group modulo torsion |
j |
78608 |
j-invariant |
L |
3.4734234953025 |
L(r)(E,1)/r! |
Ω |
0.65487638180739 |
Real period |
R |
5.3039376465468 |
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 |
1600m2 400f2 14400ex2 1600x2 |
Quadratic twists by: -4 8 -3 5 |