Atkin-Lehner |
3- 5+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
54075v |
Isogeny class |
Conductor |
54075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5568 |
Modular degree for the optimal curve |
Δ |
-54075 = -1 · 3 · 52 · 7 · 103 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-18,-33] |
[a1,a2,a3,a4,a6] |
Generators |
[237:488:27] |
Generators of the group modulo torsion |
j |
-25888585/2163 |
j-invariant |
L |
5.3342331015363 |
L(r)(E,1)/r! |
Ω |
1.1530695026375 |
Real period |
R |
4.6261158493865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998888 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54075p1 |
Quadratic twists by: 5 |