Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40560bz |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
300710972989440000 = 216 · 32 · 54 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-175816,-10501516] |
[a1,a2,a3,a4,a6] |
Generators |
[-34040:485199:512] |
Generators of the group modulo torsion |
j |
30400540561/15210000 |
j-invariant |
L |
6.9317707759583 |
L(r)(E,1)/r! |
Ω |
0.245603659599 |
Real period |
R |
7.0558504576862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999919 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5070a2 121680ep2 3120z2 |
Quadratic twists by: -4 -3 13 |