Atkin-Lehner |
2- 3+ 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
43152s |
Isogeny class |
Conductor |
43152 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
48960 |
Modular degree for the optimal curve |
Δ |
-488329435392 = -1 · 28 · 3 · 295 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 3 -4 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,28,33612] |
[a1,a2,a3,a4,a6] |
Generators |
[-19323:84842:729] |
Generators of the group modulo torsion |
j |
9148592/1907536857 |
j-invariant |
L |
6.198325282434 |
L(r)(E,1)/r! |
Ω |
0.73842431579673 |
Real period |
R |
8.3939885914247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10788c1 129456ca1 |
Quadratic twists by: -4 -3 |