Atkin-Lehner |
2- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
23744z |
Isogeny class |
Conductor |
23744 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-1163456 = -1 · 26 · 73 · 53 |
Discriminant |
Eigenvalues |
2- 0 -3 7+ 3 6 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-124,534] |
[a1,a2,a3,a4,a6] |
Generators |
[7:3:1] |
Generators of the group modulo torsion |
j |
-3294646272/18179 |
j-invariant |
L |
4.0107456073685 |
L(r)(E,1)/r! |
Ω |
2.7569170085165 |
Real period |
R |
1.454793740609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23744p1 5936i1 |
Quadratic twists by: -4 8 |