Atkin-Lehner |
2+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
50864q |
Isogeny class |
Conductor |
50864 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-209166468492658688 = -1 · 211 · 114 · 178 |
Discriminant |
Eigenvalues |
2+ 0 -4 2 11- -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-185827,-37879230] |
[a1,a2,a3,a4,a6] |
j |
-14355776178/4231249 |
j-invariant |
L |
0.90600682155679 |
L(r)(E,1)/r! |
Ω |
0.11325085257803 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25432b2 2992a2 |
Quadratic twists by: -4 17 |