Atkin-Lehner |
2- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200dp |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-1536416000000000 = -1 · 214 · 59 · 7 · 193 |
Discriminant |
Eigenvalues |
2- 3 5- 7+ 6 -2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-92875,11056250] |
[a1,a2,a3,a4,a6] |
j |
-11074654989/192052 |
j-invariant |
L |
5.7265137100686 |
L(r)(E,1)/r! |
Ω |
0.47720947582307 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650bg1 53200ed1 |
Quadratic twists by: -4 5 |