Atkin-Lehner |
2- 3+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
23184t |
Isogeny class |
Conductor |
23184 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-81411014393856 = -1 · 219 · 39 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ -2 -5 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5373,-406782] |
[a1,a2,a3,a4,a6] |
j |
212776173/1009792 |
j-invariant |
L |
1.2269416341378 |
L(r)(E,1)/r! |
Ω |
0.30673540853444 |
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 |
2898c1 92736cu1 23184y1 |
Quadratic twists by: -4 8 -3 |