Atkin-Lehner |
2+ 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680h |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
332760147148800 = 214 · 38 · 52 · 73 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-180881,-29536719] |
[a1,a2,a3,a4,a6] |
j |
39947078668956496/20310067575 |
j-invariant |
L |
0.92602762278191 |
L(r)(E,1)/r! |
Ω |
0.23150712924675 |
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 |
127680fk2 7980f2 |
Quadratic twists by: -4 8 |