Atkin-Lehner |
2+ 3- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
54978w |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
27248426039611392 = 212 · 3 · 78 · 113 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11+ 6 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-181963,28785782] |
[a1,a2,a3,a4,a6] |
Generators |
[5538:5879:27] |
Generators of the group modulo torsion |
j |
5663453071972249/231607799808 |
j-invariant |
L |
4.630321466755 |
L(r)(E,1)/r! |
Ω |
0.3715250375643 |
Real period |
R |
6.2315066262032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999792 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7854b1 |
Quadratic twists by: -7 |