Atkin-Lehner |
2+ 3+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
2544a |
Isogeny class |
Conductor |
2544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-976896 = -1 · 211 · 32 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -4 -3 -2 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32,96] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:12:1] [2:6:1] |
Generators of the group modulo torsion |
j |
-1825346/477 |
j-invariant |
L |
2.8297869734646 |
L(r)(E,1)/r! |
Ω |
2.6461872135759 |
Real period |
R |
0.13367284441112 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1272a1 10176r1 7632a1 63600p1 |
Quadratic twists by: -4 8 -3 5 |