Atkin-Lehner |
2- 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
121200dd |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-2412675072000000 = -1 · 221 · 36 · 56 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 2 2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48008,-4704012] |
[a1,a2,a3,a4,a6] |
Generators |
[958:28800:1] |
Generators of the group modulo torsion |
j |
-191202526081/37698048 |
j-invariant |
L |
7.4477689151625 |
L(r)(E,1)/r! |
Ω |
0.15956780126462 |
Real period |
R |
0.97238823900033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999436951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15150c1 4848i1 |
Quadratic twists by: -4 5 |