Atkin-Lehner |
2- 3+ 5- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
112560bq |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-3573188204544000 = -1 · 214 · 312 · 53 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-51640,-5337488] |
[a1,a2,a3,a4,a6] |
Generators |
[284:1680:1] |
Generators of the group modulo torsion |
j |
-3718183976571961/872360401500 |
j-invariant |
L |
6.0708597850555 |
L(r)(E,1)/r! |
Ω |
0.15640679923761 |
Real period |
R |
3.2345459516886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055294 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14070e1 |
Quadratic twists by: -4 |