Atkin-Lehner |
2+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
67270j |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
533854720000 = 212 · 54 · 7 · 313 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 2 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2164,16848] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:244:1] |
Generators of the group modulo torsion |
j |
37629052551/17920000 |
j-invariant |
L |
3.8938071602425 |
L(r)(E,1)/r! |
Ω |
0.82499565531757 |
Real period |
R |
1.1799477778106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986159 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67270k1 |
Quadratic twists by: -31 |