Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992fa |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-926559960367104 = -1 · 216 · 37 · 7 · 314 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4596,1459600] |
[a1,a2,a3,a4,a6] |
j |
224727548/19393941 |
j-invariant |
L |
3.042670258709 |
L(r)(E,1)/r! |
Ω |
0.38033387541897 |
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 |
124992co3 31248m3 41664dr3 |
Quadratic twists by: -4 8 -3 |