Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840bj |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-7127040 = -1 · 214 · 3 · 5 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -3 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21,-141] |
[a1,a2,a3,a4,a6] |
j |
-65536/435 |
j-invariant |
L |
0.98840524347452 |
L(r)(E,1)/r! |
Ω |
0.98840524347468 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27840cg1 1740c1 83520cy1 |
Quadratic twists by: -4 8 -3 |