Atkin-Lehner |
3- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
111843j |
Isogeny class |
Conductor |
111843 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-478229252816120049 = -1 · 313 · 178 · 43 |
Discriminant |
Eigenvalues |
-1 3- 3 1 5 -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,152104,24162644] |
[a1,a2,a3,a4,a6] |
Generators |
[-298298:2338237:2197] |
Generators of the group modulo torsion |
j |
22117051943/27177849 |
j-invariant |
L |
6.6703701640408 |
L(r)(E,1)/r! |
Ω |
0.19783043697657 |
Real period |
R |
8.4294033409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999677872 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37281d1 6579e1 |
Quadratic twists by: -3 17 |