Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200di |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
-6.7635273033967E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,56544592,360230373312] |
[a1,a2,a3,a4,a6] |
Generators |
[-36854:353925:8] |
Generators of the group modulo torsion |
j |
312404265277724598551/1056801141155738160 |
j-invariant |
L |
5.4943603272055 |
L(r)(E,1)/r! |
Ω |
0.043781208448524 |
Real period |
R |
5.2289940828143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016793 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13650cv4 21840bw3 |
Quadratic twists by: -4 5 |