Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48300n |
Isogeny class |
Conductor |
48300 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-48300000000 = -1 · 28 · 3 · 58 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -3 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,667,-8463] |
[a1,a2,a3,a4,a6] |
Generators |
[1696:69833:1] |
Generators of the group modulo torsion |
j |
327680/483 |
j-invariant |
L |
4.4587845584861 |
L(r)(E,1)/r! |
Ω |
0.59901886952536 |
Real period |
R |
7.4434793047845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48300q1 |
Quadratic twists by: 5 |