Atkin-Lehner |
2- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
81928w |
Isogeny class |
Conductor |
81928 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-28838656 = -1 · 28 · 72 · 112 · 19 |
Discriminant |
Eigenvalues |
2- -2 1 7- 11- -2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,307] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:22:1] |
Generators of the group modulo torsion |
j |
-2458624/2299 |
j-invariant |
L |
4.3961596746929 |
L(r)(E,1)/r! |
Ω |
1.9152102509925 |
Real period |
R |
0.57384818061257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000592 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81928l1 |
Quadratic twists by: -7 |