Atkin-Lehner |
3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28611u |
Isogeny class |
Conductor |
28611 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6955935741749907 = 39 · 114 · 176 |
Discriminant |
Eigenvalues |
-1 3- -2 -4 11- -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-381101,-90369790] |
[a1,a2,a3,a4,a6] |
Generators |
[-357:475:1] |
Generators of the group modulo torsion |
j |
347873904937/395307 |
j-invariant |
L |
1.8733391368925 |
L(r)(E,1)/r! |
Ω |
0.19216277142092 |
Real period |
R |
1.2185887535866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9537j3 99b3 |
Quadratic twists by: -3 17 |