Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
54096bl |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
615375323136 = 214 · 32 · 73 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -2 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-255432,49774320] |
[a1,a2,a3,a4,a6] |
Generators |
[285:210:1] |
Generators of the group modulo torsion |
j |
1311889499494111/438012 |
j-invariant |
L |
6.4880090733711 |
L(r)(E,1)/r! |
Ω |
0.73749708932937 |
Real period |
R |
2.1993337896579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6762r1 54096ct1 |
Quadratic twists by: -4 -7 |