Atkin-Lehner |
3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
28665bw |
Isogeny class |
Conductor |
28665 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
221760 |
Modular degree for the optimal curve |
Δ |
-2060462015297595 = -1 · 313 · 5 · 76 · 133 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- 1 13- -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-83937,9611460] |
[a1,a2,a3,a4,a6] |
Generators |
[95:1579:1] |
Generators of the group modulo torsion |
j |
-762549907456/24024195 |
j-invariant |
L |
3.2165034191931 |
L(r)(E,1)/r! |
Ω |
0.46288450398374 |
Real period |
R |
0.57906875104389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9555r1 585e1 |
Quadratic twists by: -3 -7 |