Atkin-Lehner |
3+ 5+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
54075b |
Isogeny class |
Conductor |
54075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
33696 |
Modular degree for the optimal curve |
Δ |
-17384517675 = -1 · 39 · 52 · 73 · 103 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ -3 4 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-483,-7387] |
[a1,a2,a3,a4,a6] |
Generators |
[20783:146210:343] |
Generators of the group modulo torsion |
j |
-499486720000/695380707 |
j-invariant |
L |
3.976123388305 |
L(r)(E,1)/r! |
Ω |
0.48449060710691 |
Real period |
R |
8.2068121237997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000083 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54075bd1 |
Quadratic twists by: 5 |