Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
2736s |
Isogeny class |
Conductor |
2736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-3350068015104 = -1 · 212 · 316 · 19 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 -3 -6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2832,-66256] |
[a1,a2,a3,a4,a6] |
j |
841232384/1121931 |
j-invariant |
L |
0.84655367656304 |
L(r)(E,1)/r! |
Ω |
0.42327683828152 |
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 |
171c1 10944bt1 912f1 68400fo1 |
Quadratic twists by: -4 8 -3 5 |