Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664ct |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
13345513832448 = 215 · 32 · 72 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20097,-1075743] |
[a1,a2,a3,a4,a6] |
Generators |
[311:4760:1] |
Generators of the group modulo torsion |
j |
27396121552136/407272761 |
j-invariant |
L |
6.9124616459675 |
L(r)(E,1)/r! |
Ω |
0.40133406013867 |
Real period |
R |
4.3059276127595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664do4 20832bf2 124992ge4 |
Quadratic twists by: -4 8 -3 |