Atkin-Lehner |
3+ 11+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
80883b |
Isogeny class |
Conductor |
80883 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
587520 |
Modular degree for the optimal curve |
Δ |
-215576131558491 = -1 · 33 · 114 · 193 · 433 |
Discriminant |
Eigenvalues |
0 3+ -3 2 11+ 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-589284,174115992] |
[a1,a2,a3,a4,a6] |
Generators |
[2962:20687:8] |
Generators of the group modulo torsion |
j |
-838173443006702813184/7984301168833 |
j-invariant |
L |
3.5436753617163 |
L(r)(E,1)/r! |
Ω |
0.50650985379751 |
Real period |
R |
1.7490653613296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999771 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
80883e2 |
Quadratic twists by: -3 |