Atkin-Lehner |
2- 3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39780d |
Isogeny class |
Conductor |
39780 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
21943284480 = 28 · 33 · 5 · 133 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-175743,28357318] |
[a1,a2,a3,a4,a6] |
Generators |
[2091:93826:1] |
Generators of the group modulo torsion |
j |
86846853774358512/3174665 |
j-invariant |
L |
5.9365651776234 |
L(r)(E,1)/r! |
Ω |
0.89185425357538 |
Real period |
R |
6.6564297404226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
39780i4 |
Quadratic twists by: -3 |