Atkin-Lehner |
2- 3+ 5- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
32190q |
Isogeny class |
Conductor |
32190 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
74961924982205850 = 2 · 34 · 52 · 298 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-813935,-282671413] |
[a1,a2,a3,a4,a6] |
Generators |
[1991676:-31520797:1728] |
Generators of the group modulo torsion |
j |
59633859447095089641841/74961924982205850 |
j-invariant |
L |
8.3128875996751 |
L(r)(E,1)/r! |
Ω |
0.15895891963845 |
Real period |
R |
6.5369779331844 |
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 |
96570b6 |
Quadratic twists by: -3 |