Atkin-Lehner |
2- 3+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
54978bv |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-85605524467848 = -1 · 23 · 32 · 76 · 112 · 174 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 11- 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7645,510971] |
[a1,a2,a3,a4,a6] |
Generators |
[29:-576:1] |
Generators of the group modulo torsion |
j |
-420021471169/727634952 |
j-invariant |
L |
5.3533283880584 |
L(r)(E,1)/r! |
Ω |
0.54212625287359 |
Real period |
R |
0.41144539361819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999148 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1122n2 |
Quadratic twists by: -7 |