Atkin-Lehner |
2+ 3- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
121200bm |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
116352000 = 210 · 32 · 53 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-128,-252] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:18:1] |
Generators of the group modulo torsion |
j |
1826132/909 |
j-invariant |
L |
7.9420428787814 |
L(r)(E,1)/r! |
Ω |
1.4933474315005 |
Real period |
R |
1.3295705236731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999655972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60600f1 121200u1 |
Quadratic twists by: -4 5 |