Atkin-Lehner |
2- 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
40572l |
Isogeny class |
Conductor |
40572 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-278260303104 = -1 · 28 · 39 · 74 · 23 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 0 -1 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1617,4214] |
[a1,a2,a3,a4,a6] |
Generators |
[7:126:1] |
Generators of the group modulo torsion |
j |
1043504/621 |
j-invariant |
L |
5.2013435199062 |
L(r)(E,1)/r! |
Ω |
0.59648663898367 |
Real period |
R |
0.48444258428994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13524b1 40572o1 |
Quadratic twists by: -3 -7 |