Atkin-Lehner |
2- 3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68970ck |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
560 |
Product of Tamagawa factors cp |
Δ |
7692628957348500000 = 25 · 37 · 56 · 117 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-496787101,-4261944582895] |
[a1,a2,a3,a4,a6] |
j |
7653825103704685955596009/4342288500000 |
j-invariant |
L |
4.476978540629 |
L(r)(E,1)/r! |
Ω |
0.031978418142772 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6270h2 |
Quadratic twists by: -11 |