Atkin-Lehner |
2- 3- 5- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270cy |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
796151811840 = 28 · 3 · 5 · 72 · 114 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20180,-1104240] |
[a1,a2,a3,a4,a6] |
Generators |
[192:1356:1] |
Generators of the group modulo torsion |
j |
908842322613798721/796151811840 |
j-invariant |
L |
12.279593437481 |
L(r)(E,1)/r! |
Ω |
0.4005825173898 |
Real period |
R |
1.9158963672295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810bj2 |
Quadratic twists by: -3 |