Atkin-Lehner |
3+ 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
112167c |
Isogeny class |
Conductor |
112167 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18048 |
Modular degree for the optimal curve |
Δ |
-336501 = -1 · 33 · 112 · 103 |
Discriminant |
Eigenvalues |
1 3+ -3 -4 11- -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6,-27] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-1:1] [78:183:8] |
Generators of the group modulo torsion |
j |
-8019/103 |
j-invariant |
L |
9.4396015620755 |
L(r)(E,1)/r! |
Ω |
1.2982477653128 |
Real period |
R |
3.6355161973337 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000443 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112167d1 112167f1 |
Quadratic twists by: -3 -11 |