Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
23184ca |
Isogeny class |
Conductor |
23184 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-2.0858590986165E+20 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 4 -3 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1309821,387199874] |
[a1,a2,a3,a4,a6] |
Generators |
[775:43218:1] |
Generators of the group modulo torsion |
j |
83228502970940543/69854999176704 |
j-invariant |
L |
4.5274991483304 |
L(r)(E,1)/r! |
Ω |
0.11526243252762 |
Real period |
R |
0.44636272920901 |
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 |
2898f1 92736fr1 7728m1 |
Quadratic twists by: -4 8 -3 |