Atkin-Lehner |
2+ 3- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
38592n |
Isogeny class |
Conductor |
38592 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-3125952 = -1 · 26 · 36 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 -4 -2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-444,3602] |
[a1,a2,a3,a4,a6] |
Generators |
[11:7:1] [19:45:1] |
Generators of the group modulo torsion |
j |
-207474688/67 |
j-invariant |
L |
9.218538665971 |
L(r)(E,1)/r! |
Ω |
2.4739588401072 |
Real period |
R |
1.8631148013705 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38592cg1 603f1 4288a1 |
Quadratic twists by: -4 8 -3 |