Atkin-Lehner |
3- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32487m |
Isogeny class |
Conductor |
32487 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
9282153153 = 3 · 77 · 13 · 172 |
Discriminant |
Eigenvalues |
-1 3- 2 7- -4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-80557,-8807128] |
[a1,a2,a3,a4,a6] |
Generators |
[-507011538427:250652967236:3092990993] |
Generators of the group modulo torsion |
j |
491411892194497/78897 |
j-invariant |
L |
4.6798146294103 |
L(r)(E,1)/r! |
Ω |
0.28338294524709 |
Real period |
R |
16.514101176166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97461l1 4641b1 |
Quadratic twists by: -3 -7 |