Atkin-Lehner |
2+ 5+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
78320d |
Isogeny class |
Conductor |
78320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
892221440 = 211 · 5 · 11 · 892 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 11+ 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2376,-45356] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:2:1] |
Generators of the group modulo torsion |
j |
724629215378/435655 |
j-invariant |
L |
4.2266582621809 |
L(r)(E,1)/r! |
Ω |
0.68381462786807 |
Real period |
R |
1.5452500169043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000010322 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39160f2 |
Quadratic twists by: -4 |