Atkin-Lehner |
2+ 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
2736c |
Isogeny class |
Conductor |
2736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
131328 = 28 · 33 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 4 0 6 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-303,2030] |
[a1,a2,a3,a4,a6] |
j |
445090032/19 |
j-invariant |
L |
3.0904696922437 |
L(r)(E,1)/r! |
Ω |
3.0904696922437 |
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 |
1368d2 10944bp2 2736d2 68400e2 |
Quadratic twists by: -4 8 -3 5 |