Atkin-Lehner |
2+ 3- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
54978r |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
7916962627728 = 24 · 33 · 78 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13746,-606476] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:63:1] |
Generators of the group modulo torsion |
j |
2441288319625/67293072 |
j-invariant |
L |
5.1638957381018 |
L(r)(E,1)/r! |
Ω |
0.44166236639266 |
Real period |
R |
1.9486588742257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7854d1 |
Quadratic twists by: -7 |