Atkin-Lehner |
2- 3+ 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55062z |
Isogeny class |
Conductor |
55062 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
2481627601152 = 28 · 39 · 72 · 19 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4646,-94283] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:179:1] |
Generators of the group modulo torsion |
j |
563355317979/126079744 |
j-invariant |
L |
8.6897737285994 |
L(r)(E,1)/r! |
Ω |
0.5875339483221 |
Real period |
R |
0.92439059833932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000061 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55062d1 |
Quadratic twists by: -3 |