Atkin-Lehner |
2- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
67270bi |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
2861127640 = 23 · 5 · 74 · 313 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ -2 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6582,207149] |
[a1,a2,a3,a4,a6] |
Generators |
[39:73:1] [382:-141:8] |
Generators of the group modulo torsion |
j |
1058401397871/96040 |
j-invariant |
L |
14.638340765225 |
L(r)(E,1)/r! |
Ω |
1.3679173693934 |
Real period |
R |
3.5670626244796 |
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 |
67270bh2 |
Quadratic twists by: -31 |