Atkin-Lehner |
2- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
33200bf |
Isogeny class |
Conductor |
33200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-518750000 = -1 · 24 · 58 · 83 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 -5 -2 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-533,-4688] |
[a1,a2,a3,a4,a6] |
Generators |
[32:100:1] |
Generators of the group modulo torsion |
j |
-67108864/2075 |
j-invariant |
L |
2.1805483039384 |
L(r)(E,1)/r! |
Ω |
0.49582622932948 |
Real period |
R |
2.1989037438448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8300a1 6640c1 |
Quadratic twists by: -4 5 |