Atkin-Lehner |
2+ 3+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
552a |
Isogeny class |
Conductor |
552 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
29251584 = 211 · 33 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 -2 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1144,-14516] |
[a1,a2,a3,a4,a6] |
Generators |
[45:152:1] |
Generators of the group modulo torsion |
j |
80919167474/14283 |
j-invariant |
L |
1.7081772832086 |
L(r)(E,1)/r! |
Ω |
0.82085418637744 |
Real period |
R |
4.1619505913641 |
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 |
1104e2 4416g2 1656h2 13800y2 |
Quadratic twists by: -4 8 -3 5 |