Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54150bt |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-4393558371532800 = -1 · 216 · 3 · 52 · 197 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 1 -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,14252,3127061] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:1473:1] |
Generators of the group modulo torsion |
j |
272199695/3735552 |
j-invariant |
L |
8.2616614185243 |
L(r)(E,1)/r! |
Ω |
0.32336726443552 |
Real period |
R |
0.79840153201472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54150bh1 2850h1 |
Quadratic twists by: 5 -19 |