Atkin-Lehner |
2- 5- |
Signs for the Atkin-Lehner involutions |
Class |
1600v |
Isogeny class |
Conductor |
1600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3276800000000 = -1 · 223 · 58 |
Discriminant |
Eigenvalues |
2- 1 5- -2 -3 4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4833,-157537] |
[a1,a2,a3,a4,a6] |
Generators |
[247:3712:1] |
Generators of the group modulo torsion |
j |
-121945/32 |
j-invariant |
L |
3.0732407264865 |
L(r)(E,1)/r! |
Ω |
0.28241374448847 |
Real period |
R |
2.7205127109278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1600j3 400c3 14400ew3 1600q1 |
Quadratic twists by: -4 8 -3 5 |