Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
27342bp |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.01835297135E+23 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5500804,-14529654219] |
[a1,a2,a3,a4,a6] |
Generators |
[163084621190942953204:-24468279762824004056943:7365249423278144] |
Generators of the group modulo torsion |
j |
214628074889266583/1187360416300086 |
j-invariant |
L |
7.1034972782993 |
L(r)(E,1)/r! |
Ω |
0.053280300657587 |
Real period |
R |
33.330786381776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9114f2 3906s2 |
Quadratic twists by: -3 -7 |