Atkin-Lehner |
2- 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
106032ba |
Isogeny class |
Conductor |
106032 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4548096 |
Modular degree for the optimal curve |
Δ |
-3.3706724025568E+20 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 0 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4118312,-3334521744] |
[a1,a2,a3,a4,a6] |
Generators |
[69988319730364083930:4657071481601981091166:13154451002694981] |
Generators of the group modulo torsion |
j |
-79202473/3456 |
j-invariant |
L |
3.4704493954548 |
L(r)(E,1)/r! |
Ω |
0.052854610312986 |
Real period |
R |
32.830148353229 |
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 |
13254b1 106032w1 |
Quadratic twists by: -4 -47 |