Atkin-Lehner |
2- 3- 5- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
27060m |
Isogeny class |
Conductor |
27060 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
15586560 = 28 · 33 · 5 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-85,-265] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:6:1] |
Generators of the group modulo torsion |
j |
268435456/60885 |
j-invariant |
L |
6.7611119663139 |
L(r)(E,1)/r! |
Ω |
1.5963483255913 |
Real period |
R |
0.47059570325638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108240bm1 81180g1 |
Quadratic twists by: -4 -3 |