Atkin-Lehner |
2+ 3- 7- 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
116298p |
Isogeny class |
Conductor |
116298 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-3796813298730816 = -1 · 26 · 38 · 73 · 135 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -2 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,16281,-2858819] |
[a1,a2,a3,a4,a6] |
Generators |
[131:-1294:1] [110:449:1] |
Generators of the group modulo torsion |
j |
654672966594191/5208248695104 |
j-invariant |
L |
9.8397391040523 |
L(r)(E,1)/r! |
Ω |
0.21933390152295 |
Real period |
R |
0.373849301552 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999997082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38766z1 |
Quadratic twists by: -3 |