Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800pz |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-2041200000000 = -1 · 210 · 36 · 58 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 5 -6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4500,135000] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:225:1] |
Generators of the group modulo torsion |
j |
-34560/7 |
j-invariant |
L |
7.2132781056339 |
L(r)(E,1)/r! |
Ω |
0.79280391311026 |
Real period |
R |
1.5164065094525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025335 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800hg1 25200fu1 11200dc1 100800mm1 |
Quadratic twists by: -4 8 -3 5 |