Atkin-Lehner |
3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28611q |
Isogeny class |
Conductor |
28611 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-194301078093553563 = -1 · 316 · 11 · 177 |
Discriminant |
Eigenvalues |
0 3- -2 3 11- 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9699996,11628030672] |
[a1,a2,a3,a4,a6] |
Generators |
[4250:217183:1] |
Generators of the group modulo torsion |
j |
-5736108018368512/11042163 |
j-invariant |
L |
4.5388642410005 |
L(r)(E,1)/r! |
Ω |
0.27323600188222 |
Real period |
R |
4.1528790219205 |
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 |
9537i1 1683g1 |
Quadratic twists by: -3 17 |