Atkin-Lehner |
2+ 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
1344d |
Isogeny class |
Conductor |
1344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
83607552 = 214 · 36 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 6 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-113,-111] |
[a1,a2,a3,a4,a6] |
j |
9826000/5103 |
j-invariant |
L |
1.5487880808399 |
L(r)(E,1)/r! |
Ω |
1.5487880808399 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1344p2 84a2 4032n2 33600cn2 |
Quadratic twists by: -4 8 -3 5 |