Atkin-Lehner |
2- 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
21300q |
Isogeny class |
Conductor |
21300 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
19440 |
Modular degree for the optimal curve |
Δ |
13974930000 = 24 · 39 · 54 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -3 -4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-633,2088] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:15:1] [-21:81:1] |
Generators of the group modulo torsion |
j |
2809446400/1397493 |
j-invariant |
L |
7.9145509276313 |
L(r)(E,1)/r! |
Ω |
1.1108708469379 |
Real period |
R |
0.79162627225168 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
85200cs1 63900ba1 21300c1 |
Quadratic twists by: -4 -3 5 |