Atkin-Lehner |
2+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48400a |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2128896 |
Modular degree for the optimal curve |
Δ |
-5.8948692275E+21 |
Discriminant |
Eigenvalues |
2+ 1 5+ 3 11+ 4 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,676592,3687995188] |
[a1,a2,a3,a4,a6] |
Generators |
[-3256218:95665625:2744] |
Generators of the group modulo torsion |
j |
453962/78125 |
j-invariant |
L |
8.4602007529622 |
L(r)(E,1)/r! |
Ω |
0.10388726477247 |
Real period |
R |
5.0897725358123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24200s1 9680b1 48400b1 |
Quadratic twists by: -4 5 -11 |