Atkin-Lehner |
2+ 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
40128u |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-463753838592 = -1 · 217 · 34 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11+ -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2337,-55233] |
[a1,a2,a3,a4,a6] |
Generators |
[114:1083:1] |
Generators of the group modulo torsion |
j |
-10773969554/3538161 |
j-invariant |
L |
7.2149826440603 |
L(r)(E,1)/r! |
Ω |
0.33767763344796 |
Real period |
R |
2.6708100897848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40128bn2 5016a2 120384bx2 |
Quadratic twists by: -4 8 -3 |