Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680di |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-32296402944000 = -1 · 221 · 36 · 53 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 13+ 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7917,35282] |
[a1,a2,a3,a4,a6] |
Generators |
[313:5760:1] |
Generators of the group modulo torsion |
j |
108750551/64000 |
j-invariant |
L |
5.8928092617794 |
L(r)(E,1)/r! |
Ω |
0.39936177335845 |
Real period |
R |
1.8444458318629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999924797 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15210i2 13520ba2 121680es2 |
Quadratic twists by: -4 -3 13 |