Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400dc |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-1632960000000 = -1 · 212 · 36 · 57 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -3 -1 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1800,54000] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:100:1] |
Generators of the group modulo torsion |
j |
13824/35 |
j-invariant |
L |
4.8003614543382 |
L(r)(E,1)/r! |
Ω |
0.58938293083478 |
Real period |
R |
1.0180905323153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50400dr1 100800lr1 5600c1 10080q1 |
Quadratic twists by: -4 8 -3 5 |