Atkin-Lehner |
2- 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728ek |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1446984548352 = 224 · 32 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 2 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-152769,22931775] |
[a1,a2,a3,a4,a6] |
j |
1504154129818033/5519808 |
j-invariant |
L |
1.4930020781669 |
L(r)(E,1)/r! |
Ω |
0.74650103901173 |
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 |
49728bd2 12432z2 |
Quadratic twists by: -4 8 |