Atkin-Lehner |
2- 3- 5+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270ck |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
5044961607840000 = 28 · 35 · 54 · 74 · 11 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-280126,56940356] |
[a1,a2,a3,a4,a6] |
Generators |
[218:-2608:1] |
Generators of the group modulo torsion |
j |
2430995017485503655649/5044961607840000 |
j-invariant |
L |
9.7340982428935 |
L(r)(E,1)/r! |
Ω |
0.43218716115798 |
Real period |
R |
0.18769064111044 |
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 |
117810bk1 |
Quadratic twists by: -3 |