Atkin-Lehner |
2- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
128440be |
Isogeny class |
Conductor |
128440 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
7660800 |
Modular degree for the optimal curve |
Δ |
-6.1462140713499E+20 |
Discriminant |
Eigenvalues |
2- 3 5- 3 -2 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-567502,1204081229] |
[a1,a2,a3,a4,a6] |
j |
-261725359417344/7958433396875 |
j-invariant |
L |
8.1486043880806 |
L(r)(E,1)/r! |
Ω |
0.13581005068783 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9880a1 |
Quadratic twists by: 13 |