Atkin-Lehner |
2+ 3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
40128d |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-2508895625196601344 = -1 · 221 · 3 · 115 · 195 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -2 11+ -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-786241,-278687423] |
[a1,a2,a3,a4,a6] |
j |
-205046048384508241/9570677281176 |
j-invariant |
L |
0.79946369942331 |
L(r)(E,1)/r! |
Ω |
0.079946369942198 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40128by2 1254k2 120384br2 |
Quadratic twists by: -4 8 -3 |