Atkin-Lehner |
2- 3+ 5- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
32190q |
Isogeny class |
Conductor |
32190 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
15882010768822500 = 22 · 38 · 54 · 294 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-64685,-1852513] |
[a1,a2,a3,a4,a6] |
Generators |
[-754:15163:8] |
Generators of the group modulo torsion |
j |
29931940910983029841/15882010768822500 |
j-invariant |
L |
8.3128875996751 |
L(r)(E,1)/r! |
Ω |
0.3179178392769 |
Real period |
R |
3.2684889665922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
96570b4 |
Quadratic twists by: -3 |