Atkin-Lehner |
2- 3- 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010cn |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
2411136 |
Modular degree for the optimal curve |
Δ |
39686919293952000 = 213 · 34 · 53 · 78 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 1 -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1081186,-432695740] |
[a1,a2,a3,a4,a6] |
Generators |
[-604:590:1] |
Generators of the group modulo torsion |
j |
24246031084065889/6884352000 |
j-invariant |
L |
13.679359957964 |
L(r)(E,1)/r! |
Ω |
0.14805799002664 |
Real period |
R |
1.7767674281572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015907 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122010ch1 |
Quadratic twists by: -7 |