Atkin-Lehner |
2- 3- 37+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
27084d |
Isogeny class |
Conductor |
27084 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
5355842366208 = 28 · 3 · 374 · 612 |
Discriminant |
Eigenvalues |
2- 3- 2 2 0 2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27852,1776372] |
[a1,a2,a3,a4,a6] |
Generators |
[-274442:5185755:2744] |
Generators of the group modulo torsion |
j |
9334015100955088/20921259243 |
j-invariant |
L |
8.1741997920575 |
L(r)(E,1)/r! |
Ω |
0.76512296629573 |
Real period |
R |
10.683511216023 |
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 |
108336l2 81252c2 |
Quadratic twists by: -4 -3 |