Atkin-Lehner |
2- 3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
43344bb |
Isogeny class |
Conductor |
43344 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-12098968916896512 = -1 · 28 · 38 · 72 · 435 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -1 -3 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46560,6554396] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:3150:1] [890:-25886:1] |
Generators of the group modulo torsion |
j |
-59812937728000/64830723363 |
j-invariant |
L |
8.9129256512725 |
L(r)(E,1)/r! |
Ω |
0.3643551320135 |
Real period |
R |
0.6115548312726 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10836g1 14448n1 |
Quadratic twists by: -4 -3 |