Atkin-Lehner |
3- 5+ 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
57285a |
Isogeny class |
Conductor |
57285 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
38912 |
Modular degree for the optimal curve |
Δ |
-2797971255 = -1 · 38 · 5 · 19 · 672 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 -4 6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-585,6160] |
[a1,a2,a3,a4,a6] |
j |
-30400540561/3838095 |
j-invariant |
L |
2.7810655836565 |
L(r)(E,1)/r! |
Ω |
1.3905327935833 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19095c1 |
Quadratic twists by: -3 |