Atkin-Lehner |
2- 3+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
54672p |
Isogeny class |
Conductor |
54672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
1305997737984 = 219 · 37 · 17 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 1 1 1 -7 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3280,48064] |
[a1,a2,a3,a4,a6] |
Generators |
[56:192:1] |
Generators of the group modulo torsion |
j |
953054410321/318847104 |
j-invariant |
L |
5.1520230257068 |
L(r)(E,1)/r! |
Ω |
0.79108981405232 |
Real period |
R |
1.6281409942813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6834t1 |
Quadratic twists by: -4 |