Atkin-Lehner |
2+ 3- 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
81168w |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-17359156656 = -1 · 24 · 34 · 19 · 893 |
Discriminant |
Eigenvalues |
2+ 3- 1 2 1 -1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-475,-7648] |
[a1,a2,a3,a4,a6] |
Generators |
[346:1869:8] |
Generators of the group modulo torsion |
j |
-742332614656/1084947291 |
j-invariant |
L |
9.5193163965597 |
L(r)(E,1)/r! |
Ω |
0.48573860471802 |
Real period |
R |
1.6331342798138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998242 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40584c1 |
Quadratic twists by: -4 |