Atkin-Lehner |
2- 3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
117312ct |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
5967360 |
Modular degree for the optimal curve |
Δ |
-6.0416816333616E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 2 2 13+ 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3056353,-4268927905] |
[a1,a2,a3,a4,a6] |
j |
-96357263326125677000/184377491252489691 |
j-invariant |
L |
4.5135505376161 |
L(r)(E,1)/r! |
Ω |
0.053732754544754 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117312bo1 58656h1 |
Quadratic twists by: -4 8 |