Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352dl |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3.9674322632192E+23 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19226604,-44399638960] |
[a1,a2,a3,a4,a6] |
Generators |
[77416050075493962445588241827309840:-115819054942788971348071400650369893204:34588467843193004425125234625] |
Generators of the group modulo torsion |
j |
-8226100326647904626/4152140742401883 |
j-invariant |
L |
6.9635234659952 |
L(r)(E,1)/r! |
Ω |
0.035207851675903 |
Real period |
R |
49.445813465822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352co3 11088p4 14784bv4 |
Quadratic twists by: -4 8 -3 |