Atkin-Lehner |
3- 7- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44289j |
Isogeny class |
Conductor |
44289 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-1205695878219 = -1 · 36 · 73 · 194 · 37 |
Discriminant |
Eigenvalues |
0 3- -1 7- -3 -3 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,522,-52630] |
[a1,a2,a3,a4,a6] |
Generators |
[34:66:1] [72:598:1] |
Generators of the group modulo torsion |
j |
21577826304/1653903811 |
j-invariant |
L |
7.4272674552893 |
L(r)(E,1)/r! |
Ω |
0.41159147805238 |
Real period |
R |
0.7518850457452 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4921a1 |
Quadratic twists by: -3 |