Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840j |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1569507840000 = 212 · 36 · 54 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2921,8745] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:200:1] |
Generators of the group modulo torsion |
j |
673142647744/383180625 |
j-invariant |
L |
2.440612765685 |
L(r)(E,1)/r! |
Ω |
0.72622697418801 |
Real period |
R |
1.6803374512588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27840bm2 13920bh1 83520dh2 |
Quadratic twists by: -4 8 -3 |