Atkin-Lehner |
2- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43316p |
Isogeny class |
Conductor |
43316 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-2912048048 = -1 · 24 · 77 · 13 · 17 |
Discriminant |
Eigenvalues |
2- -1 -4 7- -3 13- 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,2626] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:1:1] [5:-49:1] |
Generators of the group modulo torsion |
j |
-16384/1547 |
j-invariant |
L |
5.7526721339152 |
L(r)(E,1)/r! |
Ω |
1.1747820671412 |
Real period |
R |
0.40806661754692 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6188a1 |
Quadratic twists by: -7 |