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 |
-18335142749467620 = -1 · 22 · 32 · 5 · 29 · 378 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11205,6526095] |
[a1,a2,a3,a4,a6] |
Generators |
[4318760:-160039083:64000] |
Generators of the group modulo torsion |
j |
-155582848011514321/18335142749467620 |
j-invariant |
L |
8.3128875996751 |
L(r)(E,1)/r! |
Ω |
0.3179178392769 |
Real period |
R |
13.073955866369 |
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 |
96570b3 |
Quadratic twists by: -3 |