Atkin-Lehner |
2- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83248bd |
Isogeny class |
Conductor |
83248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-3665575936 = -1 · 214 · 112 · 432 |
Discriminant |
Eigenvalues |
2- 2 1 0 11- 5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,2928] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:54:1] |
Generators of the group modulo torsion |
j |
-14641/7396 |
j-invariant |
L |
11.196323342816 |
L(r)(E,1)/r! |
Ω |
1.1356542515891 |
Real period |
R |
2.464729762931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10406e1 83248bo1 |
Quadratic twists by: -4 -11 |