Atkin-Lehner |
2+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
23744k |
Isogeny class |
Conductor |
23744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-15698428634857472 = -1 · 220 · 710 · 53 |
Discriminant |
Eigenvalues |
2+ -3 2 7+ -2 -1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5164,6029872] |
[a1,a2,a3,a4,a6] |
j |
-58095499617/59884752788 |
j-invariant |
L |
1.2671766312818 |
L(r)(E,1)/r! |
Ω |
0.31679415782047 |
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 |
23744bm1 742f1 |
Quadratic twists by: -4 8 |