Atkin-Lehner |
2- 3- 5+ 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
122670bx |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
4505600 |
Modular degree for the optimal curve |
Δ |
-9.3265352053796E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -1 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9922,464639181] |
[a1,a2,a3,a4,a6] |
Generators |
[-295:-20733:1] |
Generators of the group modulo torsion |
j |
148195455667559/127936011047731200 |
j-invariant |
L |
7.3144994559757 |
L(r)(E,1)/r! |
Ω |
0.15089297985143 |
Real period |
R |
0.15148359258085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051098 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40890i1 |
Quadratic twists by: -3 |