Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127449bs |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4700160 |
Modular degree for the optimal curve |
Δ |
-3.0512466494324E+19 |
Discriminant |
Eigenvalues |
-2 3- -3 7- 5 1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,722211,-121752738] |
[a1,a2,a3,a4,a6] |
Generators |
[578:-22109:1] |
Generators of the group modulo torsion |
j |
4096/3 |
j-invariant |
L |
2.7370095459213 |
L(r)(E,1)/r! |
Ω |
0.11718620879507 |
Real period |
R |
1.4597544765652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000021862 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42483y1 2601k1 127449br1 |
Quadratic twists by: -3 -7 17 |