Atkin-Lehner |
2+ 7+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
50456a |
Isogeny class |
Conductor |
50456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10496 |
Modular degree for the optimal curve |
Δ |
11302144 = 28 · 72 · 17 · 53 |
Discriminant |
Eigenvalues |
2+ -1 -3 7+ 2 -5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57,61] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:14:1] [-3:14:1] |
Generators of the group modulo torsion |
j |
81415168/44149 |
j-invariant |
L |
6.2405538042671 |
L(r)(E,1)/r! |
Ω |
1.9789310926938 |
Real period |
R |
0.39418715912511 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100912d1 |
Quadratic twists by: -4 |