Atkin-Lehner |
3- 29- 59- |
Signs for the Atkin-Lehner involutions |
Class |
5133d |
Isogeny class |
Conductor |
5133 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
7040 |
Modular degree for the optimal curve |
Δ |
303098517 = 311 · 29 · 59 |
Discriminant |
Eigenvalues |
-2 3- -4 -1 -4 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1220,15980] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:175:1] [1:121:1] |
Generators of the group modulo torsion |
j |
200982912126976/303098517 |
j-invariant |
L |
2.5446486529437 |
L(r)(E,1)/r! |
Ω |
1.7232933966111 |
Real period |
R |
0.13423813738112 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82128r1 15399a1 128325h1 |
Quadratic twists by: -4 -3 5 |