Atkin-Lehner |
2- 5+ 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
27260a |
Isogeny class |
Conductor |
27260 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15936 |
Modular degree for the optimal curve |
Δ |
-8518750000 = -1 · 24 · 58 · 29 · 47 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 3 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-881,-11300] |
[a1,a2,a3,a4,a6] |
Generators |
[2712:141250:1] |
Generators of the group modulo torsion |
j |
-4731777531904/532421875 |
j-invariant |
L |
4.0862959720306 |
L(r)(E,1)/r! |
Ω |
0.43535291652468 |
Real period |
R |
4.6930844114363 |
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 |
109040d1 |
Quadratic twists by: -4 |