Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664ct |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
765527003136 = 212 · 34 · 74 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2457,21465] |
[a1,a2,a3,a4,a6] |
Generators |
[59:280:1] |
Generators of the group modulo torsion |
j |
400641542848/186896241 |
j-invariant |
L |
6.9124616459675 |
L(r)(E,1)/r! |
Ω |
0.80266812027733 |
Real period |
R |
2.1529638063798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41664do2 20832bf1 124992ge2 |
Quadratic twists by: -4 8 -3 |