Atkin-Lehner |
2- 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
28208g |
Isogeny class |
Conductor |
28208 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3744 |
Modular degree for the optimal curve |
Δ |
-7221248 = -1 · 212 · 41 · 43 |
Discriminant |
Eigenvalues |
2- -1 -2 0 -2 6 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11,125] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:1:1] |
Generators of the group modulo torsion |
j |
32768/1763 |
j-invariant |
L |
3.7695585567874 |
L(r)(E,1)/r! |
Ω |
1.7907790200277 |
Real period |
R |
2.1049825325344 |
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 |
1763a1 112832s1 |
Quadratic twists by: -4 8 |