Atkin-Lehner |
2- 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
23184bc |
Isogeny class |
Conductor |
23184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-1317418442928 = -1 · 24 · 33 · 78 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 0 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1872,63415] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:276:1] |
Generators of the group modulo torsion |
j |
-1679412953088/3049579729 |
j-invariant |
L |
3.1434730283734 |
L(r)(E,1)/r! |
Ω |
0.76651200691204 |
Real period |
R |
2.0505047540202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5796b1 92736dg1 23184x1 |
Quadratic twists by: -4 8 -3 |