Atkin-Lehner |
2- 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21736c |
Isogeny class |
Conductor |
21736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13248 |
Modular degree for the optimal curve |
Δ |
-172627312 = -1 · 24 · 112 · 13 · 193 |
Discriminant |
Eigenvalues |
2- -2 2 4 11- 13+ -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1672,25773] |
[a1,a2,a3,a4,a6] |
Generators |
[22:11:1] |
Generators of the group modulo torsion |
j |
-32327511017728/10789207 |
j-invariant |
L |
4.6350634840126 |
L(r)(E,1)/r! |
Ω |
1.7719404263764 |
Real period |
R |
0.65395306397113 |
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 |
43472b1 |
Quadratic twists by: -4 |