Atkin-Lehner |
2+ 3- 5- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270bn |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
1196047835136000 = 216 · 38 · 53 · 7 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-64863,-6142094] |
[a1,a2,a3,a4,a6] |
Generators |
[-160:462:1] |
Generators of the group modulo torsion |
j |
30179023393892020201/1196047835136000 |
j-invariant |
L |
5.9190088982993 |
L(r)(E,1)/r! |
Ω |
0.2998891413169 |
Real period |
R |
0.82238846554952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810dt1 |
Quadratic twists by: -3 |