Atkin-Lehner |
2- 3+ 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
72756b |
Isogeny class |
Conductor |
72756 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
26784 |
Modular degree for the optimal curve |
Δ |
-1928616048 = -1 · 24 · 33 · 43 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 -3 -4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,255,1417] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:25:1] [8:63:1] |
Generators of the group modulo torsion |
j |
4244832000/4464389 |
j-invariant |
L |
10.866364507994 |
L(r)(E,1)/r! |
Ω |
0.97837121055708 |
Real period |
R |
5.5532932647998 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998831 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
72756a2 |
Quadratic twists by: -3 |