Atkin-Lehner |
2- 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
32850bo |
Isogeny class |
Conductor |
32850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-11645053700062500 = -1 · 22 · 38 · 56 · 734 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,18220,5100347] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:2155:1] |
Generators of the group modulo torsion |
j |
58727785103/1022336676 |
j-invariant |
L |
9.9716984952711 |
L(r)(E,1)/r! |
Ω |
0.29978440699104 |
Real period |
R |
4.1578623932435 |
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 |
10950j4 1314c4 |
Quadratic twists by: -3 5 |