Atkin-Lehner |
2+ 3+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
54672b |
Isogeny class |
Conductor |
54672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-59483136 = -1 · 210 · 3 · 172 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ -3 3 6 -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-152,864] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:34:1] |
Generators of the group modulo torsion |
j |
-381775972/58089 |
j-invariant |
L |
4.4142913306388 |
L(r)(E,1)/r! |
Ω |
1.9076476901496 |
Real period |
R |
0.57849928911681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000207 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27336f1 |
Quadratic twists by: -4 |