Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
54096dg |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-2866655232 = -1 · 212 · 33 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -6 -5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4853,128547] |
[a1,a2,a3,a4,a6] |
Generators |
[46:69:1] |
Generators of the group modulo torsion |
j |
-62992384000/14283 |
j-invariant |
L |
6.4555113829243 |
L(r)(E,1)/r! |
Ω |
1.3927862778909 |
Real period |
R |
0.77249365598624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3381a1 54096be1 |
Quadratic twists by: -4 -7 |