Atkin-Lehner |
2- 3- 5+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
99180n |
Isogeny class |
Conductor |
99180 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
629029314000 = 24 · 39 · 53 · 19 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192288,-32454587] |
[a1,a2,a3,a4,a6] |
Generators |
[878748973897492712476:-39563693615902561401465:413580214943580608] |
Generators of the group modulo torsion |
j |
67411307099324416/53929125 |
j-invariant |
L |
7.6872417397678 |
L(r)(E,1)/r! |
Ω |
0.22798775911957 |
Real period |
R |
33.717782828032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999874133 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33060s1 |
Quadratic twists by: -3 |