Atkin-Lehner |
2- 3+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
58032t |
Isogeny class |
Conductor |
58032 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-71844544512 = -1 · 214 · 33 · 132 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 2 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,621,-11438] |
[a1,a2,a3,a4,a6] |
Generators |
[41:288:1] |
Generators of the group modulo torsion |
j |
239483061/649636 |
j-invariant |
L |
8.0425780543179 |
L(r)(E,1)/r! |
Ω |
0.56256441860034 |
Real period |
R |
1.7870349129081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999112 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7254c2 58032u2 |
Quadratic twists by: -4 -3 |