Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20280y |
Isogeny class |
Conductor |
20280 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
1080447161785102800 = 24 · 316 · 52 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-387911,-78529086] |
[a1,a2,a3,a4,a6] |
Generators |
[-269:2535:1] |
Generators of the group modulo torsion |
j |
83587439220736/13990184325 |
j-invariant |
L |
4.9113630826109 |
L(r)(E,1)/r! |
Ω |
0.19347775106925 |
Real period |
R |
1.5865400076586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40560e1 60840z1 101400k1 1560h1 |
Quadratic twists by: -4 -3 5 13 |