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 |
1552150950638409 = 312 · 112 · 176 |
Discriminant |
Eigenvalues |
-1 3- -2 -4 11- -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29966,-619684] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:1200:1] |
Generators of the group modulo torsion |
j |
169112377/88209 |
j-invariant |
L |
1.8733391368925 |
L(r)(E,1)/r! |
Ω |
0.38432554284184 |
Real period |
R |
2.4371775071732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9537j2 99b2 |
Quadratic twists by: -3 17 |