Atkin-Lehner |
2- 7- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
81872be |
Isogeny class |
Conductor |
81872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-9389735936 = -1 · 218 · 72 · 17 · 43 |
Discriminant |
Eigenvalues |
2- -3 1 7- 0 1 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2827,58042] |
[a1,a2,a3,a4,a6] |
Generators |
[31:14:1] [37:64:1] |
Generators of the group modulo torsion |
j |
-610015948641/2292416 |
j-invariant |
L |
7.5771350401035 |
L(r)(E,1)/r! |
Ω |
1.3016875765431 |
Real period |
R |
0.72762611944049 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996729 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10234h1 |
Quadratic twists by: -4 |