Atkin-Lehner |
3- 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
112167j |
Isogeny class |
Conductor |
112167 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-10293902091 = -1 · 36 · 113 · 1032 |
Discriminant |
Eigenvalues |
0 3- 1 -4 11+ -6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,528,-1422] |
[a1,a2,a3,a4,a6] |
Generators |
[66:469:8] [66:566:1] |
Generators of the group modulo torsion |
j |
16777216/10609 |
j-invariant |
L |
8.5741140149492 |
L(r)(E,1)/r! |
Ω |
0.7387168243056 |
Real period |
R |
2.9016917348356 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000124 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12463b1 112167i1 |
Quadratic twists by: -3 -11 |