Atkin-Lehner |
2+ 5- |
Signs for the Atkin-Lehner involutions |
Class |
400d |
Isogeny class |
Conductor |
400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
32000 = 28 · 53 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 4 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28,-48] |
[a1,a2,a3,a4,a6] |
j |
78608 |
j-invariant |
L |
2.0709009523614 |
L(r)(E,1)/r! |
Ω |
2.0709009523614 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
200b2 1600x2 3600s2 400f2 |
Quadratic twists by: -4 8 -3 5 |