Atkin-Lehner |
2- 3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
81168ct |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-137501879872176 = -1 · 24 · 34 · 19 · 895 |
Discriminant |
Eigenvalues |
2- 3- -3 0 3 -3 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,223,564246] |
[a1,a2,a3,a4,a6] |
Generators |
[82:1068:1] |
Generators of the group modulo torsion |
j |
76307873792/8593867492011 |
j-invariant |
L |
6.0365559013603 |
L(r)(E,1)/r! |
Ω |
0.4612142734682 |
Real period |
R |
0.65441989211363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994597 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20292c1 |
Quadratic twists by: -4 |