Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
43560f |
Isogeny class |
Conductor |
43560 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
59265943418880 = 211 · 33 · 5 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 11- -1 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-235587,44010846] |
[a1,a2,a3,a4,a6] |
Generators |
[2178:1815:8] |
Generators of the group modulo torsion |
j |
121995126/5 |
j-invariant |
L |
6.5415848290598 |
L(r)(E,1)/r! |
Ω |
0.58666182776202 |
Real period |
R |
1.8584201094789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87120k1 43560bh1 43560bk1 |
Quadratic twists by: -4 -3 -11 |