Atkin-Lehner |
2+ 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
32850b |
Isogeny class |
Conductor |
32850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-4597948800 = -1 · 27 · 39 · 52 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 1 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,93,3221] |
[a1,a2,a3,a4,a6] |
j |
179685/9344 |
j-invariant |
L |
2.0902028539732 |
L(r)(E,1)/r! |
Ω |
1.0451014269889 |
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 |
32850be1 32850bg1 |
Quadratic twists by: -3 5 |