Atkin-Lehner |
2- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
9200r |
Isogeny class |
Conductor |
9200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-460000000 = -1 · 28 · 57 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 -6 -6 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-200,1500] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:50:1] [5:25:1] |
Generators of the group modulo torsion |
j |
-221184/115 |
j-invariant |
L |
5.4110767342213 |
L(r)(E,1)/r! |
Ω |
1.5504236487043 |
Real period |
R |
0.43625791721062 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2300c1 36800by1 82800eb1 1840g1 |
Quadratic twists by: -4 8 -3 5 |