Atkin-Lehner |
3+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
60333g |
Isogeny class |
Conductor |
60333 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5499648 |
Modular degree for the optimal curve |
Δ |
-3.9835195486108E+21 |
Discriminant |
Eigenvalues |
-2 3+ -1 7- -2 13+ 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3844806,4201431158] |
[a1,a2,a3,a4,a6] |
Generators |
[13227:1505749:1] |
Generators of the group modulo torsion |
j |
-1302227927110660096/825290486657091 |
j-invariant |
L |
2.1381545341251 |
L(r)(E,1)/r! |
Ω |
0.12867206407473 |
Real period |
R |
2.0771355357116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000848 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4641c1 |
Quadratic twists by: 13 |