Atkin-Lehner |
2- 3- 23- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
21804b |
Isogeny class |
Conductor |
21804 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-9155586816 = -1 · 28 · 39 · 23 · 79 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 -3 -6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1997,33999] |
[a1,a2,a3,a4,a6] |
Generators |
[61:-378:1] [13:102:1] |
Generators of the group modulo torsion |
j |
-3442194423808/35764011 |
j-invariant |
L |
6.9212497887528 |
L(r)(E,1)/r! |
Ω |
1.3042748626139 |
Real period |
R |
0.19654030919137 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87216f1 65412b1 |
Quadratic twists by: -4 -3 |