Atkin-Lehner |
2- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
23744bj |
Isogeny class |
Conductor |
23744 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
48640 |
Modular degree for the optimal curve |
Δ |
-47962004701184 = -1 · 214 · 7 · 535 |
Discriminant |
Eigenvalues |
2- 0 3 7- 1 -2 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-976,333408] |
[a1,a2,a3,a4,a6] |
j |
-6275570688/2927368451 |
j-invariant |
L |
2.5786048990426 |
L(r)(E,1)/r! |
Ω |
0.5157209798085 |
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 |
23744f1 5936c1 |
Quadratic twists by: -4 8 |