Atkin-Lehner |
2+ 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
2736d |
Isogeny class |
Conductor |
2736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-113689008 = -1 · 24 · 39 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ -4 0 -6 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-162,-945] |
[a1,a2,a3,a4,a6] |
j |
-1492992/361 |
j-invariant |
L |
0.66066208340006 |
L(r)(E,1)/r! |
Ω |
0.66066208340006 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1368a1 10944bo1 2736c1 68400f1 |
Quadratic twists by: -4 8 -3 5 |