Atkin-Lehner |
2- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
67270bi |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-2335614400 = -1 · 26 · 52 · 72 · 313 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ -2 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-382,3789] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:57:1] [-3:71:1] |
Generators of the group modulo torsion |
j |
-206425071/78400 |
j-invariant |
L |
14.638340765225 |
L(r)(E,1)/r! |
Ω |
1.3679173693934 |
Real period |
R |
0.8917656561199 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67270bh1 |
Quadratic twists by: -31 |