Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664de |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3936996016128 = 214 · 36 · 73 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8433,-285201] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:72:1] |
Generators of the group modulo torsion |
j |
4048569250000/240295167 |
j-invariant |
L |
6.9019351090091 |
L(r)(E,1)/r! |
Ω |
0.50004370858956 |
Real period |
R |
1.1502219690078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664x2 10416o2 124992eh2 |
Quadratic twists by: -4 8 -3 |