Atkin-Lehner |
2- 3+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32856k |
Isogeny class |
Conductor |
32856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46656 |
Modular degree for the optimal curve |
Δ |
-27592731648 = -1 · 210 · 39 · 372 |
Discriminant |
Eigenvalues |
2- 3+ -4 1 -2 -3 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1640,-26244] |
[a1,a2,a3,a4,a6] |
j |
-348190276/19683 |
j-invariant |
L |
0.74772782994259 |
L(r)(E,1)/r! |
Ω |
0.37386391497356 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65712m1 98568j1 32856d1 |
Quadratic twists by: -4 -3 37 |