Atkin-Lehner |
2- 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840cj |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7127040000 = 217 · 3 · 54 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14881,703681] |
[a1,a2,a3,a4,a6] |
j |
2780605132562/54375 |
j-invariant |
L |
2.4422406970181 |
L(r)(E,1)/r! |
Ω |
1.2211203485092 |
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 |
27840bn4 6960t3 83520gm4 |
Quadratic twists by: -4 8 -3 |