Atkin-Lehner |
2- 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
43344bs |
Isogeny class |
Conductor |
43344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
-46261559538432 = -1 · 28 · 36 · 78 · 43 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 5 -1 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40008,-3097460] |
[a1,a2,a3,a4,a6] |
j |
-37948686032896/247886443 |
j-invariant |
L |
5.3989998306562 |
L(r)(E,1)/r! |
Ω |
0.16871874470973 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10836f1 4816f1 |
Quadratic twists by: -4 -3 |