Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
103200x |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
220 |
Product of Tamagawa factors cp |
deg |
4561920 |
Modular degree for the optimal curve |
Δ |
-1.6666946977357E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 1 -3 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16502433,25872145263] |
[a1,a2,a3,a4,a6] |
Generators |
[1839:41796:1] |
Generators of the group modulo torsion |
j |
-7765826776893057088/26042104652121 |
j-invariant |
L |
8.9448582964202 |
L(r)(E,1)/r! |
Ω |
0.15027693505282 |
Real period |
R |
0.27055680122467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999892203 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103200bm1 4128j1 |
Quadratic twists by: -4 5 |