Atkin-Lehner |
2- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21964b |
Isogeny class |
Conductor |
21964 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-1995887305472 = -1 · 28 · 177 · 19 |
Discriminant |
Eigenvalues |
2- -1 2 -4 -2 6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3083,15713] |
[a1,a2,a3,a4,a6] |
j |
524288/323 |
j-invariant |
L |
1.0236052376928 |
L(r)(E,1)/r! |
Ω |
0.51180261884639 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87856o1 1292a1 |
Quadratic twists by: -4 17 |