Atkin-Lehner |
2+ 5+ 29- 71- |
Signs for the Atkin-Lehner involutions |
Class |
20590d |
Isogeny class |
Conductor |
20590 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51072 |
Modular degree for the optimal curve |
Δ |
11942200 = 23 · 52 · 292 · 71 |
Discriminant |
Eigenvalues |
2+ 1 5+ 5 -4 1 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-47934,-4043304] |
[a1,a2,a3,a4,a6] |
Generators |
[-43386:21524:343] |
Generators of the group modulo torsion |
j |
12179843346448375129/11942200 |
j-invariant |
L |
4.5156474736313 |
L(r)(E,1)/r! |
Ω |
0.32265598265835 |
Real period |
R |
3.4988096582211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102950i1 |
Quadratic twists by: 5 |