Atkin-Lehner |
2+ 3- 7- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21714g |
Isogeny class |
Conductor |
21714 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
19840 |
Modular degree for the optimal curve |
Δ |
-2815306956 = -1 · 22 · 34 · 75 · 11 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11+ 4 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-400,3962] |
[a1,a2,a3,a4,a6] |
Generators |
[31:-163:1] |
Generators of the group modulo torsion |
j |
-7052482298233/2815306956 |
j-invariant |
L |
3.9139754558928 |
L(r)(E,1)/r! |
Ω |
1.3446514322773 |
Real period |
R |
0.07276933192389 |
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 |
65142bd1 |
Quadratic twists by: -3 |