Atkin-Lehner |
2+ 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
42720a |
Isogeny class |
Conductor |
42720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-328499712000 = -1 · 212 · 34 · 53 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-401,27615] |
[a1,a2,a3,a4,a6] |
j |
-1745337664/80200125 |
j-invariant |
L |
3.1985918959608 |
L(r)(E,1)/r! |
Ω |
0.79964797399706 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42720e2 85440j1 128160bn2 |
Quadratic twists by: -4 8 -3 |