Atkin-Lehner |
2+ 5+ |
Signs for the Atkin-Lehner involutions |
Class |
1600b |
Isogeny class |
Conductor |
1600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-819200 = -1 · 215 · 52 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 -5 0 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,-97] |
[a1,a2,a3,a4,a6] |
Generators |
[7:8:1] |
Generators of the group modulo torsion |
j |
-5000 |
j-invariant |
L |
3.2165172612201 |
L(r)(E,1)/r! |
Ω |
0.98286829724053 |
Real period |
R |
0.81814554153663 |
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 |
1600d1 800f1 14400be1 1600k1 |
Quadratic twists by: -4 8 -3 5 |