Atkin-Lehner |
43+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
120787a |
Isogeny class |
Conductor |
120787 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
300664 |
Modular degree for the optimal curve |
Δ |
-953067528547 = -1 · 43 · 536 |
Discriminant |
Eigenvalues |
2 2 4 0 3 -5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-936,48559] |
[a1,a2,a3,a4,a6] |
Generators |
[-50662421274713152803814:266866061251861631239111:1421946463887658614088] |
Generators of the group modulo torsion |
j |
-4096/43 |
j-invariant |
L |
27.565068358447 |
L(r)(E,1)/r! |
Ω |
0.75118227789664 |
Real period |
R |
36.695578649207 |
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 |
43a1 |
Quadratic twists by: 53 |