Atkin-Lehner |
2+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
16400f |
Isogeny class |
Conductor |
16400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
52531250000 = 24 · 59 · 412 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 0 0 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1383,15988] |
[a1,a2,a3,a4,a6] |
Generators |
[48:250:1] |
Generators of the group modulo torsion |
j |
1171019776/210125 |
j-invariant |
L |
2.5030702454158 |
L(r)(E,1)/r! |
Ω |
1.0687571721212 |
Real period |
R |
1.1710191569746 |
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 |
8200a1 65600bi1 3280b1 |
Quadratic twists by: -4 8 5 |