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 |
deg |
448 |
Modular degree for the optimal curve |
Δ |
-155952 = -1 · 24 · 33 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 4 0 6 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18,35] |
[a1,a2,a3,a4,a6] |
j |
-1492992/361 |
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 |
1368d1 10944bp1 2736d1 68400e1 |
Quadratic twists by: -4 8 -3 5 |