Atkin-Lehner |
2- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55660m |
Isogeny class |
Conductor |
55660 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-431031040 = -1 · 28 · 5 · 114 · 23 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 11- 2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-113901,14833865] |
[a1,a2,a3,a4,a6] |
j |
-43601299185664/115 |
j-invariant |
L |
4.4108955739371 |
L(r)(E,1)/r! |
Ω |
1.1027238940692 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55660n1 |
Quadratic twists by: -11 |