Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840bh |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-93960000 = -1 · 26 · 34 · 54 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36,-486] |
[a1,a2,a3,a4,a6] |
j |
-82881856/1468125 |
j-invariant |
L |
1.636090240454 |
L(r)(E,1)/r! |
Ω |
0.81804512022731 |
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 |
27840c1 13920g4 83520cu1 |
Quadratic twists by: -4 8 -3 |