Atkin-Lehner |
2+ 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680bw |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3138713518080 = 215 · 3 · 5 · 72 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31841,2174655] |
[a1,a2,a3,a4,a6] |
j |
108955087254728/95785935 |
j-invariant |
L |
3.1727234827036 |
L(r)(E,1)/r! |
Ω |
0.7931805920491 |
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 |
127680n4 63840k4 |
Quadratic twists by: -4 8 |