Atkin-Lehner |
2- 3- 7+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
28182s |
Isogeny class |
Conductor |
28182 |
Conductor |
∏ cp |
6480 |
Product of Tamagawa factors cp |
deg |
145774080 |
Modular degree for the optimal curve |
Δ |
-6.2798294580073E+29 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11- 6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-84276207747,-9416932873183935] |
[a1,a2,a3,a4,a6] |
j |
-66197054758515686881566280344469359793/627982945800727365314301394944 |
j-invariant |
L |
7.1772501014433 |
L(r)(E,1)/r! |
Ω |
0.0044304012971873 |
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 |
84546j1 |
Quadratic twists by: -3 |