Atkin-Lehner |
3+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
60333d |
Isogeny class |
Conductor |
60333 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-9192087121863764937 = -1 · 3 · 7 · 137 · 178 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-47999,145905882] |
[a1,a2,a3,a4,a6] |
Generators |
[-53708806:-7746722507:636056] |
Generators of the group modulo torsion |
j |
-2533811507137/1904381781393 |
j-invariant |
L |
8.5052754923295 |
L(r)(E,1)/r! |
Ω |
0.18659674312306 |
Real period |
R |
11.395262519284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997733 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4641b4 |
Quadratic twists by: 13 |