Atkin-Lehner |
2+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
67270q |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
132395970560 = 212 · 5 · 7 · 314 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 0 -1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-170598,-27135304] |
[a1,a2,a3,a4,a6] |
Generators |
[-6441:3271:27] |
Generators of the group modulo torsion |
j |
594559172575321/143360 |
j-invariant |
L |
3.5807558686274 |
L(r)(E,1)/r! |
Ω |
0.23491263809014 |
Real period |
R |
2.5404876026029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000142 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67270t2 |
Quadratic twists by: -31 |