Atkin-Lehner |
2- 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
121200cz |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-6981120000000 = -1 · 215 · 33 · 57 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 6 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28408,-1856812] |
[a1,a2,a3,a4,a6] |
Generators |
[1748:72750:1] |
Generators of the group modulo torsion |
j |
-39616946929/109080 |
j-invariant |
L |
9.8955398480875 |
L(r)(E,1)/r! |
Ω |
0.18383851303943 |
Real period |
R |
4.485612451954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999689023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15150b1 24240s1 |
Quadratic twists by: -4 5 |