Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2244b |
Isogeny class |
Conductor |
2244 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-25441143552 = -1 · 28 · 312 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 11+ -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-93,-7713] |
[a1,a2,a3,a4,a6] |
Generators |
[21:6:1] |
Generators of the group modulo torsion |
j |
-351232000/99379467 |
j-invariant |
L |
3.5037946397815 |
L(r)(E,1)/r! |
Ω |
0.53338563600932 |
Real period |
R |
1.6422426867342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
8976s1 35904l1 6732a1 56100f1 |
Quadratic twists by: -4 8 -3 5 |