Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840i |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1042928271360000 = -1 · 218 · 32 · 54 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24961,-2163839] |
[a1,a2,a3,a4,a6] |
Generators |
[241:2400:1] |
Generators of the group modulo torsion |
j |
-6561258219361/3978455625 |
j-invariant |
L |
2.3504977289901 |
L(r)(E,1)/r! |
Ω |
0.18479998272569 |
Real period |
R |
1.589893093009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27840dk3 435d4 83520dg3 |
Quadratic twists by: -4 8 -3 |