Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450dz |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-3267368501897491200 = -1 · 28 · 39 · 52 · 1110 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- -3 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,370600,4663387] |
[a1,a2,a3,a4,a6] |
Generators |
[613:21185:1] |
Generators of the group modulo torsion |
j |
441045/256 |
j-invariant |
L |
9.6612634609073 |
L(r)(E,1)/r! |
Ω |
0.15134360545247 |
Real period |
R |
3.9897884320817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54450g1 54450r1 54450f1 |
Quadratic twists by: -3 5 -11 |