Atkin-Lehner |
2- 3+ 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
17556a |
Isogeny class |
Conductor |
17556 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2976 |
Modular degree for the optimal curve |
Δ |
1123584 = 28 · 3 · 7 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 11+ -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-77,-231] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:2:1] |
Generators of the group modulo torsion |
j |
199794688/4389 |
j-invariant |
L |
2.4877837354838 |
L(r)(E,1)/r! |
Ω |
1.6120868141457 |
Real period |
R |
0.5144023497275 |
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 |
70224cx1 52668u1 122892w1 |
Quadratic twists by: -4 -3 -7 |