Atkin-Lehner |
3+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
4743a |
Isogeny class |
Conductor |
4743 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2752 |
Modular degree for the optimal curve |
Δ |
-423896139 = -1 · 33 · 17 · 314 |
Discriminant |
Eigenvalues |
-2 3+ 3 2 -3 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-141,-1182] |
[a1,a2,a3,a4,a6] |
Generators |
[128:1441:1] |
Generators of the group modulo torsion |
j |
-11481993216/15699857 |
j-invariant |
L |
2.4470921656207 |
L(r)(E,1)/r! |
Ω |
0.65962331679752 |
Real period |
R |
0.92745818079223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75888q1 4743b1 118575d1 80631b1 |
Quadratic twists by: -4 -3 5 17 |