Atkin-Lehner |
2- 3- 5- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
89040cp |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
720896 |
Modular degree for the optimal curve |
Δ |
23455272960 = 212 · 32 · 5 · 74 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1908800,-1015689612] |
[a1,a2,a3,a4,a6] |
Generators |
[295782853058:-53191845262080:9129329] |
Generators of the group modulo torsion |
j |
187778242790732059201/5726385 |
j-invariant |
L |
9.8434829723983 |
L(r)(E,1)/r! |
Ω |
0.12844270083467 |
Real period |
R |
19.159288371653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999942062 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5565d1 |
Quadratic twists by: -4 |