Atkin-Lehner |
2- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
96320bs |
Isogeny class |
Conductor |
96320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-7551488000000000000 = -1 · 221 · 512 · 73 · 43 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ -3 -2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1795585,934889983] |
[a1,a2,a3,a4,a6] |
Generators |
[-1089:40000:1] [786:3125:1] |
Generators of the group modulo torsion |
j |
-2442316470222480769/28806640625000 |
j-invariant |
L |
13.096495523912 |
L(r)(E,1)/r! |
Ω |
0.23556456666784 |
Real period |
R |
1.1582542341374 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997219 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96320ba2 24080f2 |
Quadratic twists by: -4 8 |