Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83232bk |
Isogeny class |
Conductor |
83232 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-20829500106706944 = -1 · 212 · 36 · 178 |
Discriminant |
Eigenvalues |
2- 3- 2 2 2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45084,7860800] |
[a1,a2,a3,a4,a6] |
Generators |
[178:2340:1] |
Generators of the group modulo torsion |
j |
-140608/289 |
j-invariant |
L |
9.3245622433167 |
L(r)(E,1)/r! |
Ω |
0.34113294904659 |
Real period |
R |
3.4167625368312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000287 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83232bm2 9248b2 4896o2 |
Quadratic twists by: -4 -3 17 |