Atkin-Lehner |
2- 3+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
32436b |
Isogeny class |
Conductor |
32436 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
6227712 = 28 · 33 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -2 1 0 1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-231,-1346] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:2:1] |
Generators of the group modulo torsion |
j |
197222256/901 |
j-invariant |
L |
4.8743869264332 |
L(r)(E,1)/r! |
Ω |
1.2249431928544 |
Real period |
R |
0.66321265003248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129744r1 32436a1 |
Quadratic twists by: -4 -3 |