Atkin-Lehner |
2+ 3+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
67536d |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-217236608805888 = -1 · 210 · 39 · 74 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28971,-2026134] |
[a1,a2,a3,a4,a6] |
Generators |
[441:8424:1] |
Generators of the group modulo torsion |
j |
-133420609836/10778089 |
j-invariant |
L |
5.2524947984664 |
L(r)(E,1)/r! |
Ω |
0.18212674637006 |
Real period |
R |
3.6049721577784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993522 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33768a2 67536a2 |
Quadratic twists by: -4 -3 |