Atkin-Lehner |
3- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60333n |
Isogeny class |
Conductor |
60333 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-495358190442297 = -1 · 36 · 72 · 138 · 17 |
Discriminant |
Eigenvalues |
-1 3- 0 7- -4 13+ 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6672,1050633] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:786:1] |
Generators of the group modulo torsion |
j |
6804992375/102626433 |
j-invariant |
L |
4.8572778268986 |
L(r)(E,1)/r! |
Ω |
0.38874094847617 |
Real period |
R |
1.0412413558211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996799 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4641d2 |
Quadratic twists by: 13 |