Atkin-Lehner |
2- 3- 7- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
39732f |
Isogeny class |
Conductor |
39732 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
5244624 = 24 · 32 · 7 · 112 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-89,276] |
[a1,a2,a3,a4,a6] |
Generators |
[48:330:1] |
Generators of the group modulo torsion |
j |
4927700992/327789 |
j-invariant |
L |
6.4150643194943 |
L(r)(E,1)/r! |
Ω |
2.3742193584483 |
Real period |
R |
2.7019678264631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119196p1 |
Quadratic twists by: -3 |