Atkin-Lehner |
2- 7+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
111202q |
Isogeny class |
Conductor |
111202 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-9152739627861659648 = -1 · 212 · 73 · 137 · 473 |
Discriminant |
Eigenvalues |
2- 1 0 7+ 0 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-125993,146560985] |
[a1,a2,a3,a4,a6] |
Generators |
[-532:8209:1] |
Generators of the group modulo torsion |
j |
-45825062361625/1896229916672 |
j-invariant |
L |
12.847999987888 |
L(r)(E,1)/r! |
Ω |
0.19192683345198 |
Real period |
R |
0.46487622749839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999828792 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8554e2 |
Quadratic twists by: 13 |