Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
23184bx |
Isogeny class |
Conductor |
23184 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-644121072 = -1 · 24 · 36 · 74 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 -1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,51,-1213] |
[a1,a2,a3,a4,a6] |
Generators |
[26:133:1] |
Generators of the group modulo torsion |
j |
1257728/55223 |
j-invariant |
L |
6.3551279578139 |
L(r)(E,1)/r! |
Ω |
0.77701590921123 |
Real period |
R |
2.0447225991374 |
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 |
5796e1 92736fm1 2576o1 |
Quadratic twists by: -4 8 -3 |