Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54600q |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1.1262096911447E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2632768,1722575932] |
[a1,a2,a3,a4,a6] |
Generators |
[1033:10206:1] |
Generators of the group modulo torsion |
j |
-15767094823546327124/879851321206767 |
j-invariant |
L |
5.1525811081466 |
L(r)(E,1)/r! |
Ω |
0.18489814709425 |
Real period |
R |
2.3222610164377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000086 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200ce2 54600cr2 |
Quadratic twists by: -4 5 |