Atkin-Lehner |
2- 3- 7- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
28014bb |
Isogeny class |
Conductor |
28014 |
Conductor |
∏ cp |
1120 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-3457644752318496768 = -1 · 220 · 32 · 77 · 232 · 292 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 0 -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-73255,-89794999] |
[a1,a2,a3,a4,a6] |
Generators |
[4214:270725:1] |
Generators of the group modulo torsion |
j |
-43474630619740385521/3457644752318496768 |
j-invariant |
L |
7.6432941923847 |
L(r)(E,1)/r! |
Ω |
0.11052374659626 |
Real period |
R |
0.24698293442977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84042y1 |
Quadratic twists by: -3 |