Atkin-Lehner |
2+ 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
110110m |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-1562093186333680 = -1 · 24 · 5 · 72 · 119 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2095,1900685] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:719:1] |
Generators of the group modulo torsion |
j |
573856191/881760880 |
j-invariant |
L |
3.398703633158 |
L(r)(E,1)/r! |
Ω |
0.3726404107017 |
Real period |
R |
1.1400748254934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069255 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010n1 |
Quadratic twists by: -11 |