Atkin-Lehner |
2- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19760s |
Isogeny class |
Conductor |
19760 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-178334000 = -1 · 24 · 53 · 13 · 193 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 6 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1021,12920] |
[a1,a2,a3,a4,a6] |
Generators |
[20:10:1] |
Generators of the group modulo torsion |
j |
-7363872292864/11145875 |
j-invariant |
L |
4.025585822119 |
L(r)(E,1)/r! |
Ω |
1.8012041838514 |
Real period |
R |
2.2349414120899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4940d2 79040bx2 98800bi2 |
Quadratic twists by: -4 8 5 |