Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54600cb |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
7452900000000 = 28 · 32 · 58 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11508,-460512] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:126:1] |
Generators of the group modulo torsion |
j |
42140629456/1863225 |
j-invariant |
L |
6.3964905248588 |
L(r)(E,1)/r! |
Ω |
0.46220245281665 |
Real period |
R |
1.7298941421283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
109200p2 10920g2 |
Quadratic twists by: -4 5 |