Atkin-Lehner |
3+ 5- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
32895b |
Isogeny class |
Conductor |
32895 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
-103955272425 = -1 · 39 · 52 · 173 · 43 |
Discriminant |
Eigenvalues |
1 3+ 5- -2 -2 -1 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-474,-15895] |
[a1,a2,a3,a4,a6] |
j |
-599077107/5281475 |
j-invariant |
L |
1.7932134494341 |
L(r)(E,1)/r! |
Ω |
0.44830336235819 |
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 |
32895a1 |
Quadratic twists by: -3 |