Atkin-Lehner |
2- 3+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
32472m |
Isogeny class |
Conductor |
32472 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-2008184859648 = -1 · 210 · 33 · 116 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -4 -2 11- -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1293,65790] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:212:1] [3:264:1] |
Generators of the group modulo torsion |
j |
8646803028/72634001 |
j-invariant |
L |
6.5263530244805 |
L(r)(E,1)/r! |
Ω |
0.60587179692243 |
Real period |
R |
1.7953063826463 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64944d2 32472a2 |
Quadratic twists by: -4 -3 |