Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
43560cb |
Isogeny class |
Conductor |
43560 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
81009136410681600 = 28 · 310 · 52 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-719103,-234311902] |
[a1,a2,a3,a4,a6] |
Generators |
[-491:630:1] [-479:486:1] |
Generators of the group modulo torsion |
j |
124386546256/245025 |
j-invariant |
L |
7.9044237496795 |
L(r)(E,1)/r! |
Ω |
0.16396576281059 |
Real period |
R |
6.0259712257815 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87120bi2 14520n2 3960b2 |
Quadratic twists by: -4 -3 -11 |