Atkin-Lehner |
3- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
112167l |
Isogeny class |
Conductor |
112167 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
455040 |
Modular degree for the optimal curve |
Δ |
-130367381968989 = -1 · 321 · 112 · 103 |
Discriminant |
Eigenvalues |
1 3- 3 -4 11- 1 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-73728,-7706583] |
[a1,a2,a3,a4,a6] |
Generators |
[38759351741204862672:1152207506060758917945:38906871888109051] |
Generators of the group modulo torsion |
j |
-502471560554953/1477937421 |
j-invariant |
L |
9.1010766897845 |
L(r)(E,1)/r! |
Ω |
0.14483871648704 |
Real period |
R |
31.417969278259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37389c1 112167m1 |
Quadratic twists by: -3 -11 |