Atkin-Lehner |
2- 3- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
67536bh |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-73670092272 = -1 · 24 · 37 · 7 · 673 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -3 -1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18885,-998989] |
[a1,a2,a3,a4,a6] |
Generators |
[1042:33327:1] |
Generators of the group modulo torsion |
j |
-63859743328000/6316023 |
j-invariant |
L |
4.6011941128409 |
L(r)(E,1)/r! |
Ω |
0.20362811203495 |
Real period |
R |
5.6490163197633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000141 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16884j2 22512i2 |
Quadratic twists by: -4 -3 |