Atkin-Lehner |
2+ 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
2064b |
Isogeny class |
Conductor |
2064 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-178054972416 = -1 · 210 · 37 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 1 -3 -1 1 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-400,-20668] |
[a1,a2,a3,a4,a6] |
Generators |
[176:-2322:1] |
Generators of the group modulo torsion |
j |
-6929294404/173881809 |
j-invariant |
L |
3.4698627976888 |
L(r)(E,1)/r! |
Ω |
0.43931461125652 |
Real period |
R |
0.18805607366679 |
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 |
1032b1 8256bc1 6192h1 51600g1 |
Quadratic twists by: -4 8 -3 5 |