Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
4416n |
Isogeny class |
Conductor |
4416 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-801055899648 = -1 · 216 · 312 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,991,-41025] |
[a1,a2,a3,a4,a6] |
Generators |
[43:288:1] |
Generators of the group modulo torsion |
j |
1640689628/12223143 |
j-invariant |
L |
3.6467077285376 |
L(r)(E,1)/r! |
Ω |
0.44482331402993 |
Real period |
R |
0.68317532181107 |
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 |
4416q4 552d4 13248h4 110400q3 |
Quadratic twists by: -4 8 -3 5 |