Atkin-Lehner |
3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28611s |
Isogeny class |
Conductor |
28611 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5537921293018521 = 38 · 112 · 178 |
Discriminant |
Eigenvalues |
1 3- 2 0 11- -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44271,-177008] |
[a1,a2,a3,a4,a6] |
Generators |
[-815993724:-2177420258:4019679] |
Generators of the group modulo torsion |
j |
545338513/314721 |
j-invariant |
L |
7.4423183573485 |
L(r)(E,1)/r! |
Ω |
0.35909310094844 |
Real period |
R |
10.362658510692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9537c2 1683e2 |
Quadratic twists by: -3 17 |