Atkin-Lehner |
2+ 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890cw |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
3612672 |
Modular degree for the optimal curve |
Δ |
595410387094687500 = 22 · 313 · 57 · 72 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 2 8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2198709,1254873465] |
[a1,a2,a3,a4,a6] |
Generators |
[3336:174507:1] |
Generators of the group modulo torsion |
j |
32908150684150663201/16668357187500 |
j-invariant |
L |
5.9842820426922 |
L(r)(E,1)/r! |
Ω |
0.28603514783225 |
Real period |
R |
0.12453269036687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999847173 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42630cv1 127890bd1 |
Quadratic twists by: -3 -7 |