Atkin-Lehner |
2- 3+ 5- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
46530q |
Isogeny class |
Conductor |
46530 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-12283920 = -1 · 24 · 33 · 5 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11+ 3 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,28,151] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:11:1] |
Generators of the group modulo torsion |
j |
92959677/454960 |
j-invariant |
L |
10.898871323918 |
L(r)(E,1)/r! |
Ω |
1.619037509892 |
Real period |
R |
0.42073111560593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46530c1 |
Quadratic twists by: -3 |