Atkin-Lehner |
2- 7+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
81872p |
Isogeny class |
Conductor |
81872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-276173260783616 = -1 · 216 · 78 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 1 -3 7+ -6 -3 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45472,-3832076] |
[a1,a2,a3,a4,a6] |
Generators |
[2874:153664:1] |
Generators of the group modulo torsion |
j |
-2538665515223713/67425112496 |
j-invariant |
L |
2.6563285607733 |
L(r)(E,1)/r! |
Ω |
0.16321197717407 |
Real period |
R |
2.0344160715946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019787 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10234l1 |
Quadratic twists by: -4 |