Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680y |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-13511976042240 = -1 · 28 · 37 · 5 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5577,-74698] |
[a1,a2,a3,a4,a6] |
j |
21296/15 |
j-invariant |
L |
3.1895205201392 |
L(r)(E,1)/r! |
Ω |
0.39869032652012 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60840r1 40560k1 720e1 |
Quadratic twists by: -4 -3 13 |