Atkin-Lehner |
2+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
120224b |
Isogeny class |
Conductor |
120224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
4438223087168 = 26 · 132 · 177 |
Discriminant |
Eigenvalues |
2+ 2 0 -4 0 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5298,110216] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:468:1] [2012:90168:1] |
Generators of the group modulo torsion |
j |
10648000/2873 |
j-invariant |
L |
15.13750303116 |
L(r)(E,1)/r! |
Ω |
0.72410472810946 |
Real period |
R |
5.2262823467691 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000157 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120224i1 7072a1 |
Quadratic twists by: -4 17 |