Atkin-Lehner |
2+ 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
44616f |
Isogeny class |
Conductor |
44616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
174156760006834176 = 211 · 36 · 11 · 139 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 11- 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1011352,-390620660] |
[a1,a2,a3,a4,a6] |
Generators |
[17219155125645861302:-187069482155236812945:14166515311216696] |
Generators of the group modulo torsion |
j |
5267578682/8019 |
j-invariant |
L |
4.8610552783854 |
L(r)(E,1)/r! |
Ω |
0.1505613988792 |
Real period |
R |
32.286198949891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999951 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89232o2 44616n2 |
Quadratic twists by: -4 13 |