Atkin-Lehner |
2- 3+ 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
112560bh |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-759065739264000 = -1 · 222 · 32 · 53 · 74 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 -6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22296,1851120] |
[a1,a2,a3,a4,a6] |
Generators |
[76:768:1] |
Generators of the group modulo torsion |
j |
-299270638153369/185318784000 |
j-invariant |
L |
3.6180304082562 |
L(r)(E,1)/r! |
Ω |
0.46753834202874 |
Real period |
R |
1.9346169544638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999857751 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14070c1 |
Quadratic twists by: -4 |