Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
1200p |
Isogeny class |
Conductor |
1200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-138240000000 = -1 · 216 · 33 · 57 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,592,-16812] |
[a1,a2,a3,a4,a6] |
Generators |
[28:150:1] |
Generators of the group modulo torsion |
j |
357911/2160 |
j-invariant |
L |
2.7857614073248 |
L(r)(E,1)/r! |
Ω |
0.51804870109956 |
Real period |
R |
0.44811768362898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
150c1 4800bp1 3600bk1 240b1 |
Quadratic twists by: -4 8 -3 5 |