Atkin-Lehner |
2- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
4060f |
Isogeny class |
Conductor |
4060 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-1949612000000 = -1 · 28 · 56 · 75 · 29 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 2 -4 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18565,-969775] |
[a1,a2,a3,a4,a6] |
j |
-2764343452696576/7615671875 |
j-invariant |
L |
1.2267991275774 |
L(r)(E,1)/r! |
Ω |
0.2044665212629 |
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 |
16240u1 64960c1 36540c1 20300k1 |
Quadratic twists by: -4 8 -3 5 |