Atkin-Lehner |
2+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
50864c |
Isogeny class |
Conductor |
50864 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
608740352 = 210 · 112 · 173 |
Discriminant |
Eigenvalues |
2+ 0 -2 2 11+ 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-731,7514] |
[a1,a2,a3,a4,a6] |
Generators |
[19:22:1] |
Generators of the group modulo torsion |
j |
8586756/121 |
j-invariant |
L |
5.1299027539204 |
L(r)(E,1)/r! |
Ω |
1.6321129274998 |
Real period |
R |
0.78577631906916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25432k1 50864p1 |
Quadratic twists by: -4 17 |