Atkin-Lehner |
2- 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680di |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2396420812800 = -1 · 212 · 33 · 52 · 74 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 6 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2359,59241] |
[a1,a2,a3,a4,a6] |
j |
354293734976/585063675 |
j-invariant |
L |
2.2314339512952 |
L(r)(E,1)/r! |
Ω |
0.55785818536194 |
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 |
127680fr2 63840v1 |
Quadratic twists by: -4 8 |