Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
40572d |
Isogeny class |
Conductor |
40572 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
430177450752 = 28 · 33 · 76 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1911,6174] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:132:1] |
Generators of the group modulo torsion |
j |
949104/529 |
j-invariant |
L |
5.4140197053459 |
L(r)(E,1)/r! |
Ω |
0.81558227186466 |
Real period |
R |
3.3191131613043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40572h2 828a2 |
Quadratic twists by: -3 -7 |