Atkin-Lehner |
2+ 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17952a |
Isogeny class |
Conductor |
17952 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
21343958592 = 26 · 3 · 113 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11+ 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1138,13384] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:80:1] |
Generators of the group modulo torsion |
j |
2548895896000/333499353 |
j-invariant |
L |
4.2929353187726 |
L(r)(E,1)/r! |
Ω |
1.165698848183 |
Real period |
R |
3.6827138719952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17952s1 35904bi1 53856bb1 |
Quadratic twists by: -4 8 -3 |