Atkin-Lehner |
2- 7- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
81872bg |
Isogeny class |
Conductor |
81872 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-169602105344 = -1 · 214 · 72 · 173 · 43 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 4 -7 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,19796] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:14:1] [38:272:1] |
Generators of the group modulo torsion |
j |
-4826809/41406764 |
j-invariant |
L |
12.21455183277 |
L(r)(E,1)/r! |
Ω |
0.81503159343945 |
Real period |
R |
0.62444163367245 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999362 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10234e1 |
Quadratic twists by: -4 |