Atkin-Lehner |
2+ 3- 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
44370n |
Isogeny class |
Conductor |
44370 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
7360450560 = 212 · 36 · 5 · 17 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-654,-4780] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:37:1] [29:-11:1] |
Generators of the group modulo torsion |
j |
42472019169/10096640 |
j-invariant |
L |
7.0755046700064 |
L(r)(E,1)/r! |
Ω |
0.96026838173692 |
Real period |
R |
7.3682574627831 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4930f1 |
Quadratic twists by: -3 |