Atkin-Lehner |
2+ 3- 5- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270bp |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
1296 |
Product of Tamagawa factors cp |
deg |
17252352 |
Modular degree for the optimal curve |
Δ |
-4.2153967796704E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-108475448,1079289750278] |
[a1,a2,a3,a4,a6] |
Generators |
[88074:-26019410:1] |
Generators of the group modulo torsion |
j |
-141162084764748587904214427641/421539677967044903067648000 |
j-invariant |
L |
6.2050173537764 |
L(r)(E,1)/r! |
Ω |
0.04668666719481 |
Real period |
R |
3.6918804343285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
117810dq1 |
Quadratic twists by: -3 |