Atkin-Lehner |
2- 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
39440n |
Isogeny class |
Conductor |
39440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
161546240 = 216 · 5 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 2 5- 4 0 -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-800,8960] |
[a1,a2,a3,a4,a6] |
Generators |
[939:4004:27] |
Generators of the group modulo torsion |
j |
13841287201/39440 |
j-invariant |
L |
10.21666621594 |
L(r)(E,1)/r! |
Ω |
1.8240641253009 |
Real period |
R |
5.6010455302704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4930h1 |
Quadratic twists by: -4 |