Atkin-Lehner |
2+ 3+ 29- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
59856c |
Isogeny class |
Conductor |
59856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-16886754288 = -1 · 24 · 39 · 29 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -1 5 -3 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-704,-9297] |
[a1,a2,a3,a4,a6] |
j |
-2415118565632/1055422143 |
j-invariant |
L |
0.907465750148 |
L(r)(E,1)/r! |
Ω |
0.45373287556005 |
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 |
29928e1 |
Quadratic twists by: -4 |