Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
86112bn |
Isogeny class |
Conductor |
86112 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
833280 |
Modular degree for the optimal curve |
Δ |
-132167805997953024 = -1 · 212 · 36 · 13 · 237 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 5 13- -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-148008,-28040816] |
[a1,a2,a3,a4,a6] |
Generators |
[17760:340676:27] |
Generators of the group modulo torsion |
j |
-120085841645056/44262730811 |
j-invariant |
L |
4.3099972596314 |
L(r)(E,1)/r! |
Ω |
0.1195017999778 |
Real period |
R |
2.5761699562616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009567 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86112l1 9568c1 |
Quadratic twists by: -4 -3 |