Atkin-Lehner |
2- 5+ 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
57040g |
Isogeny class |
Conductor |
57040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
169344 |
Modular degree for the optimal curve |
Δ |
-5981077504000 = -1 · 226 · 53 · 23 · 31 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 -2 -3 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-60816,5753620] |
[a1,a2,a3,a4,a6] |
j |
-6073296192664849/1460224000 |
j-invariant |
L |
1.4748635861935 |
L(r)(E,1)/r! |
Ω |
0.73743179227746 |
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 |
7130h1 |
Quadratic twists by: -4 |