Atkin-Lehner |
2- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86800bd |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
19906560 |
Modular degree for the optimal curve |
Δ |
-3.6774304782746E+26 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -4 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,178842925,-61741872750] |
[a1,a2,a3,a4,a6] |
Generators |
[3470:775000:1] |
Generators of the group modulo torsion |
j |
9884598436907013225951/5745985122304000000 |
j-invariant |
L |
3.62244531363 |
L(r)(E,1)/r! |
Ω |
0.03177236688629 |
Real period |
R |
2.8503111922278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999890893 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10850j1 17360x1 |
Quadratic twists by: -4 5 |