Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
1800s |
Isogeny class |
Conductor |
1800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
-546750000 = -1 · 24 · 37 · 56 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,150,-875] |
[a1,a2,a3,a4,a6] |
Generators |
[14:63:1] |
Generators of the group modulo torsion |
j |
2048/3 |
j-invariant |
L |
2.900443842633 |
L(r)(E,1)/r! |
Ω |
0.87051774000699 |
Real period |
R |
1.6659303477317 |
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 |
3600k1 14400x1 600d1 72a1 |
Quadratic twists by: -4 8 -3 5 |