Atkin-Lehner |
2- 7+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21112d |
Isogeny class |
Conductor |
21112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1057536 |
Modular degree for the optimal curve |
Δ |
-2.9187127015713E+20 |
Discriminant |
Eigenvalues |
2- 1 4 7+ 4 13- 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1485479,436395547] |
[a1,a2,a3,a4,a6] |
j |
1416064398745187357696/1140122149051301507 |
j-invariant |
L |
4.0161395134852 |
L(r)(E,1)/r! |
Ω |
0.11155943093014 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42224e1 |
Quadratic twists by: -4 |