Atkin-Lehner |
2+ 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39360y |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-453427200000 = -1 · 217 · 33 · 55 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -2 -4 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4001,-104001] |
[a1,a2,a3,a4,a6] |
j |
-54054018002/3459375 |
j-invariant |
L |
1.7941786928865 |
L(r)(E,1)/r! |
Ω |
0.29902978214626 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39360bm1 4920a1 118080cn1 |
Quadratic twists by: -4 8 -3 |