Atkin-Lehner |
2- 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
111296g |
Isogeny class |
Conductor |
111296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
182784 |
Modular degree for the optimal curve |
Δ |
-59751585021952 = -1 · 235 · 37 · 47 |
Discriminant |
Eigenvalues |
2- 0 2 1 0 0 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16844,919952] |
[a1,a2,a3,a4,a6] |
Generators |
[32158:139264:343] |
Generators of the group modulo torsion |
j |
-2016134440137/227934208 |
j-invariant |
L |
8.4984462183949 |
L(r)(E,1)/r! |
Ω |
0.60749953895481 |
Real period |
R |
3.4973056173759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111296a1 27824d1 |
Quadratic twists by: -4 8 |