Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
23184q |
Isogeny class |
Conductor |
23184 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
685440 |
Modular degree for the optimal curve |
Δ |
-4.3685777273863E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -6 1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,219825,-1004823927] |
[a1,a2,a3,a4,a6] |
j |
100718081964000000/37453512751940327 |
j-invariant |
L |
1.4121580928114 |
L(r)(E,1)/r! |
Ω |
0.07845322737841 |
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 |
11592m1 92736fk1 2576f1 |
Quadratic twists by: -4 8 -3 |