Atkin-Lehner |
2- 3+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
32472m |
Isogeny class |
Conductor |
32472 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
15464984832 = 28 · 33 · 113 · 412 |
Discriminant |
Eigenvalues |
2- 3+ -4 -2 11- -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1167,14130] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-66:1] [-35:110:1] |
Generators of the group modulo torsion |
j |
25429191408/2237411 |
j-invariant |
L |
6.5263530244805 |
L(r)(E,1)/r! |
Ω |
1.2117435938449 |
Real period |
R |
0.44882659566159 |
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 |
64944d1 32472a1 |
Quadratic twists by: -4 -3 |