Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54150bp |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
-4864205260800 = -1 · 211 · 36 · 52 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -3 -2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-75998,8033051] |
[a1,a2,a3,a4,a6] |
Generators |
[321:3943:1] [-211:3943:1] |
Generators of the group modulo torsion |
j |
-14899652746105/1492992 |
j-invariant |
L |
11.589724720815 |
L(r)(E,1)/r! |
Ω |
0.7375263805554 |
Real period |
R |
0.2380957404902 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54150be1 54150z1 |
Quadratic twists by: 5 -19 |