Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
23184bz |
Isogeny class |
Conductor |
23184 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-68225129917120512 = -1 · 216 · 312 · 7 · 234 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-86259,-15906382] |
[a1,a2,a3,a4,a6] |
Generators |
[225445:9433312:125] |
Generators of the group modulo torsion |
j |
-23771111713777/22848457968 |
j-invariant |
L |
6.8455075932571 |
L(r)(E,1)/r! |
Ω |
0.13403471203316 |
Real period |
R |
6.3840809308071 |
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 |
2898e1 92736fq1 7728l1 |
Quadratic twists by: -4 8 -3 |