Atkin-Lehner |
2- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
3248h |
Isogeny class |
Conductor |
3248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5820416 = 212 · 72 · 29 |
Discriminant |
Eigenvalues |
2- -2 2 7+ 4 -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2472,-48140] |
[a1,a2,a3,a4,a6] |
j |
408023180713/1421 |
j-invariant |
L |
1.3541066939932 |
L(r)(E,1)/r! |
Ω |
0.67705334699661 |
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 |
203c2 12992be2 29232bg2 81200bn2 |
Quadratic twists by: -4 8 -3 5 |