Atkin-Lehner |
2- 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
128700by |
Isogeny class |
Conductor |
128700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-1507308024543750000 = -1 · 24 · 310 · 58 · 11 · 135 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- 13+ 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1363125,615405625] |
[a1,a2,a3,a4,a6] |
Generators |
[800:6075:1] |
Generators of the group modulo torsion |
j |
-61478493280000/330822063 |
j-invariant |
L |
6.3033346058908 |
L(r)(E,1)/r! |
Ω |
0.2698008529485 |
Real period |
R |
1.9469096487116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997752 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42900bi1 128700y1 |
Quadratic twists by: -3 5 |