Atkin-Lehner |
2- 3- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
15756d |
Isogeny class |
Conductor |
15756 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
-6.150113636358E+23 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 2 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,18038636,-23532507244] |
[a1,a2,a3,a4,a6] |
j |
2535682117939742768762288/2402388139202343444321 |
j-invariant |
L |
1.3991141788593 |
L(r)(E,1)/r! |
Ω |
0.049968363530689 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63024i2 47268d2 |
Quadratic twists by: -4 -3 |