Atkin-Lehner |
3+ 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
112167f |
Isogeny class |
Conductor |
112167 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
198528 |
Modular degree for the optimal curve |
Δ |
-596132048061 = -1 · 33 · 118 · 103 |
Discriminant |
Eigenvalues |
-1 3+ -3 4 11- 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-749,38162] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:196:1] [40:246:1] |
Generators of the group modulo torsion |
j |
-8019/103 |
j-invariant |
L |
7.1662873073499 |
L(r)(E,1)/r! |
Ω |
0.77780668397499 |
Real period |
R |
1.5355759248532 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999982397 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112167b1 112167c1 |
Quadratic twists by: -3 -11 |