Atkin-Lehner |
5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
99275c |
Isogeny class |
Conductor |
99275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
160547744371953125 = 57 · 112 · 198 |
Discriminant |
Eigenvalues |
-1 -2 5+ 2 11+ 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-279963,-53681708] |
[a1,a2,a3,a4,a6] |
j |
3301293169/218405 |
j-invariant |
L |
0.83365313251476 |
L(r)(E,1)/r! |
Ω |
0.20841328669073 |
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 |
19855a2 5225a2 |
Quadratic twists by: 5 -19 |