Atkin-Lehner |
3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28611r |
Isogeny class |
Conductor |
28611 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-4672047720345453459 = -1 · 36 · 11 · 1712 |
Discriminant |
Eigenvalues |
0 3- 3 -2 11- 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-258366,115628683] |
[a1,a2,a3,a4,a6] |
Generators |
[233346675:5025991663:421875] |
Generators of the group modulo torsion |
j |
-108394872832/265513259 |
j-invariant |
L |
5.4198854637582 |
L(r)(E,1)/r! |
Ω |
0.21611763343396 |
Real period |
R |
12.539202326159 |
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 |
3179a2 1683h2 |
Quadratic twists by: -3 17 |