Atkin-Lehner |
2- 7+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
50456d |
Isogeny class |
Conductor |
50456 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8768 |
Modular degree for the optimal curve |
Δ |
-1614592 = -1 · 28 · 7 · 17 · 53 |
Discriminant |
Eigenvalues |
2- -2 2 7+ -6 0 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-57,-197] |
[a1,a2,a3,a4,a6] |
Generators |
[9:10:1] |
Generators of the group modulo torsion |
j |
-81415168/6307 |
j-invariant |
L |
3.3321595838875 |
L(r)(E,1)/r! |
Ω |
0.86365724372002 |
Real period |
R |
1.9290983825515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100912e1 |
Quadratic twists by: -4 |