Atkin-Lehner |
2+ 23+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
32752b |
Isogeny class |
Conductor |
32752 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
50880 |
Modular degree for the optimal curve |
Δ |
-815716366448 = -1 · 24 · 235 · 892 |
Discriminant |
Eigenvalues |
2+ -1 -4 -4 0 1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1060,-41729] |
[a1,a2,a3,a4,a6] |
j |
8224538710784/50982272903 |
j-invariant |
L |
0.89292860387936 |
L(r)(E,1)/r! |
Ω |
0.44646430194117 |
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 |
16376c1 |
Quadratic twists by: -4 |