Atkin-Lehner |
2+ 5+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
57850d |
Isogeny class |
Conductor |
57850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-111375596800 = -1 · 28 · 52 · 133 · 892 |
Discriminant |
Eigenvalues |
2+ 0 5+ 3 -3 13+ 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2702,-55724] |
[a1,a2,a3,a4,a6] |
j |
-87283096563105/4455023872 |
j-invariant |
L |
1.3204187023425 |
L(r)(E,1)/r! |
Ω |
0.33010467477973 |
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 |
57850w1 |
Quadratic twists by: 5 |