Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48300u |
Isogeny class |
Conductor |
48300 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
11664 |
Modular degree for the optimal curve |
Δ |
-85201200 = -1 · 24 · 33 · 52 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -1 -4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,27,-432] |
[a1,a2,a3,a4,a6] |
Generators |
[12:42:1] |
Generators of the group modulo torsion |
j |
5242880/213003 |
j-invariant |
L |
7.0169744230478 |
L(r)(E,1)/r! |
Ω |
0.92075930010218 |
Real period |
R |
0.84676182439632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999831 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48300j1 |
Quadratic twists by: 5 |