Atkin-Lehner |
2- 3- 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
20292i |
Isogeny class |
Conductor |
20292 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
4792889232 = 24 · 311 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 -2 -5 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-550,-3871] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:33:1] [-10:27:1] |
Generators of the group modulo torsion |
j |
1152076147456/299555577 |
j-invariant |
L |
6.796202960953 |
L(r)(E,1)/r! |
Ω |
1.0046866605321 |
Real period |
R |
0.20498484986576 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81168bl1 60876v1 |
Quadratic twists by: -4 -3 |