Atkin-Lehner |
3- 13- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
83421n |
Isogeny class |
Conductor |
83421 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.1973204863838E+19 |
Discriminant |
Eigenvalues |
-1 3- -2 2 2 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,366169,142884942] |
[a1,a2,a3,a4,a6] |
Generators |
[864:32789:1] |
Generators of the group modulo torsion |
j |
7448040297307418327/16424149333111767 |
j-invariant |
L |
3.7295359908674 |
L(r)(E,1)/r! |
Ω |
0.15678644834305 |
Real period |
R |
5.9468404809913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998279 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27807h2 |
Quadratic twists by: -3 |