Atkin-Lehner |
2- 3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
17556g |
Isogeny class |
Conductor |
17556 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26784 |
Modular degree for the optimal curve |
Δ |
-51602842368 = -1 · 28 · 39 · 72 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 11+ 3 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,875,-4799] |
[a1,a2,a3,a4,a6] |
j |
289075625984/201573603 |
j-invariant |
L |
1.2699751604642 |
L(r)(E,1)/r! |
Ω |
0.63498758023212 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70224cn1 52668bc1 122892y1 |
Quadratic twists by: -4 -3 -7 |