Atkin-Lehner |
2- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
21866f |
Isogeny class |
Conductor |
21866 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
956243912 = 23 · 132 · 294 |
Discriminant |
Eigenvalues |
2- -2 0 3 -4 13+ 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-438,-3236] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:18:1] |
Generators of the group modulo torsion |
j |
13140625/1352 |
j-invariant |
L |
5.7736896899584 |
L(r)(E,1)/r! |
Ω |
1.0505115667092 |
Real period |
R |
0.91601239385446 |
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 |
21866b1 |
Quadratic twists by: 29 |