Atkin-Lehner |
2- 3- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
10224l |
Isogeny class |
Conductor |
10224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
1696038912 = 215 · 36 · 71 |
Discriminant |
Eigenvalues |
2- 3- 0 1 0 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1155,14978] |
[a1,a2,a3,a4,a6] |
Generators |
[17:16:1] |
Generators of the group modulo torsion |
j |
57066625/568 |
j-invariant |
L |
4.6489863067385 |
L(r)(E,1)/r! |
Ω |
1.5011234447996 |
Real period |
R |
0.77425116549279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1278e1 40896bm1 1136f1 |
Quadratic twists by: -4 8 -3 |