Atkin-Lehner |
2+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
50864y |
Isogeny class |
Conductor |
50864 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
244800 |
Modular degree for the optimal curve |
Δ |
-157149863630848 = -1 · 211 · 11 · 178 |
Discriminant |
Eigenvalues |
2+ -2 -4 -2 11- -1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27840,-1896236] |
[a1,a2,a3,a4,a6] |
Generators |
[468:9370:1] |
Generators of the group modulo torsion |
j |
-167042/11 |
j-invariant |
L |
2.0784501136061 |
L(r)(E,1)/r! |
Ω |
0.18409939579905 |
Real period |
R |
5.6449129140078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25432u1 50864j1 |
Quadratic twists by: -4 17 |