Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19152x |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-5.6463377431415E+24 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -6 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38548011,-146820329350] |
[a1,a2,a3,a4,a6] |
Generators |
[8447:360934:1] |
Generators of the group modulo torsion |
j |
-4242991426585187031506/3781894171664380023 |
j-invariant |
L |
3.7398874214128 |
L(r)(E,1)/r! |
Ω |
0.029211094111955 |
Real period |
R |
6.4014846672282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9576x2 76608fn2 6384d2 |
Quadratic twists by: -4 8 -3 |