Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127449bc |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-950215219546430691 = -1 · 39 · 76 · 177 |
Discriminant |
Eigenvalues |
0 3- -3 7- -3 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,84966,-45920583] |
[a1,a2,a3,a4,a6] |
Generators |
[323:3901:1] |
Generators of the group modulo torsion |
j |
32768/459 |
j-invariant |
L |
4.1046019419077 |
L(r)(E,1)/r! |
Ω |
0.13655745039245 |
Real period |
R |
0.93930290748832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038341 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42483q1 2601g1 7497f1 |
Quadratic twists by: -3 -7 17 |