Atkin-Lehner |
3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
60333q |
Isogeny class |
Conductor |
60333 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
693504 |
Modular degree for the optimal curve |
Δ |
-92539442170539 = -1 · 36 · 7 · 137 · 172 |
Discriminant |
Eigenvalues |
-2 3- 3 7- -2 13+ 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-492184,-133069400] |
[a1,a2,a3,a4,a6] |
j |
-2731787761881088/19171971 |
j-invariant |
L |
2.162960907385 |
L(r)(E,1)/r! |
Ω |
0.09012337139619 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4641e1 |
Quadratic twists by: 13 |