Atkin-Lehner |
2+ 3+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
43248d |
Isogeny class |
Conductor |
43248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-68604475392 = -1 · 211 · 37 · 172 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -1 3 2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2432,48672] |
[a1,a2,a3,a4,a6] |
Generators |
[18:102:1] |
Generators of the group modulo torsion |
j |
-777075174146/33498279 |
j-invariant |
L |
6.2215114672084 |
L(r)(E,1)/r! |
Ω |
1.0882054993391 |
Real period |
R |
1.4293052808016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21624h1 129744d1 |
Quadratic twists by: -4 -3 |