Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920br |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-2.41049424E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2433025,1641450625] |
[a1,a2,a3,a4,a6] |
Generators |
[675:17500:1] |
Generators of the group modulo torsion |
j |
-24304331176056594436/3678122314453125 |
j-invariant |
L |
5.1423924113128 |
L(r)(E,1)/r! |
Ω |
0.16979173276903 |
Real period |
R |
0.84129086440476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001228 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920hv3 9240bg4 |
Quadratic twists by: -4 8 |