Atkin-Lehner |
2+ 3- 7+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
23142l |
Isogeny class |
Conductor |
23142 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1554432 |
Modular degree for the optimal curve |
Δ |
-3.5950587613388E+21 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2859303,-2204007620] |
[a1,a2,a3,a4,a6] |
Generators |
[13930656131865872931247:-266178437216815012309782:19689408605402053757] |
Generators of the group modulo torsion |
j |
2585261449921447136166263/3595058761338816823296 |
j-invariant |
L |
4.3413598468685 |
L(r)(E,1)/r! |
Ω |
0.074637553593085 |
Real period |
R |
29.082945768407 |
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 |
69426bq1 |
Quadratic twists by: -3 |