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 |
51067888592400 = 24 · 34 · 52 · 292 · 374 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-37305,2736375] |
[a1,a2,a3,a4,a6] |
Generators |
[81736:439551:512] |
Generators of the group modulo torsion |
j |
5741502690994344721/51067888592400 |
j-invariant |
L |
8.3128875996751 |
L(r)(E,1)/r! |
Ω |
0.6358356785538 |
Real period |
R |
6.5369779331844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
96570b2 |
Quadratic twists by: -3 |