Atkin-Lehner |
2+ 5+ |
Signs for the Atkin-Lehner involutions |
Class |
800a |
Isogeny class |
Conductor |
800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
8000000 = 29 · 56 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 0 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-275,-1750] |
[a1,a2,a3,a4,a6] |
Generators |
[370:2325:8] |
Generators of the group modulo torsion |
j |
287496 |
j-invariant |
L |
2.2273703795441 |
L(r)(E,1)/r! |
Ω |
1.1726197864628 |
Real period |
R |
3.7989643450636 |
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 |
800a3 1600o3 7200bg3 32a3 |
Quadratic twists by: -4 8 -3 5 |