Atkin-Lehner |
2+ 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840o |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
967837435822080 = 220 · 32 · 5 · 295 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -2 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-136741121,-615410149119] |
[a1,a2,a3,a4,a6] |
j |
1078651622544688278688321/3692006820 |
j-invariant |
L |
0.44149396405209 |
L(r)(E,1)/r! |
Ω |
0.044149396405245 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27840dp3 870i3 83520ce3 |
Quadratic twists by: -4 8 -3 |