Atkin-Lehner |
2- 3+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
129456z |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.6600049701374E+19 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 6 -4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,273861,-188104086] |
[a1,a2,a3,a4,a6] |
Generators |
[573:12528:1] |
Generators of the group modulo torsion |
j |
28174942643589/205900853992 |
j-invariant |
L |
5.9149194777493 |
L(r)(E,1)/r! |
Ω |
0.10932328216443 |
Real period |
R |
3.3815528720132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000232045 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16182k2 129456t1 |
Quadratic twists by: -4 -3 |