Atkin-Lehner |
2- 3+ 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43050bm |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
666816 |
Modular degree for the optimal curve |
Δ |
-472834115658607500 = -1 · 22 · 323 · 54 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 3 0 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,192062,6783131] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:157:1] |
Generators of the group modulo torsion |
j |
1253625721966736975/756534585053772 |
j-invariant |
L |
8.0525619885629 |
L(r)(E,1)/r! |
Ω |
0.18137899333345 |
Real period |
R |
3.6996943253863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129150bu1 43050r1 |
Quadratic twists by: -3 5 |