Atkin-Lehner |
2+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
50864d |
Isogeny class |
Conductor |
50864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
-22708155294657536 = -1 · 210 · 11 · 1710 |
Discriminant |
Eigenvalues |
2+ 1 1 -2 11+ -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27840,7458116] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:2974:1] |
Generators of the group modulo torsion |
j |
-1156/11 |
j-invariant |
L |
6.6104900191481 |
L(r)(E,1)/r! |
Ω |
0.3250360534588 |
Real period |
R |
5.0844282878939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25432m1 50864x1 |
Quadratic twists by: -4 17 |