Atkin-Lehner |
2- 3- 7- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
20706bd |
Isogeny class |
Conductor |
20706 |
Conductor |
∏ cp |
1050 |
Product of Tamagawa factors cp |
deg |
705600 |
Modular degree for the optimal curve |
Δ |
-7939422464037184512 = -1 · 210 · 33 · 77 · 17 · 295 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -3 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3709622,2753093028] |
[a1,a2,a3,a4,a6] |
Generators |
[-1484:71386:1] |
Generators of the group modulo torsion |
j |
-5645633675038714490589793/7939422464037184512 |
j-invariant |
L |
10.474660778524 |
L(r)(E,1)/r! |
Ω |
0.23329138408983 |
Real period |
R |
0.042761405214507 |
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 |
62118v1 |
Quadratic twists by: -3 |