Atkin-Lehner |
3- 5+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
119145h |
Isogeny class |
Conductor |
119145 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
130416000 |
Modular degree for the optimal curve |
Δ |
-1.5963615976319E+27 |
Discriminant |
Eigenvalues |
2 3- 5+ 3 -6 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,26952064,-1921547931559] |
[a1,a2,a3,a4,a6] |
Generators |
[57908298033066:27095178960654731:264609288] |
Generators of the group modulo torsion |
j |
15706024141942784/11579711748046875 |
j-invariant |
L |
16.271171601823 |
L(r)(E,1)/r! |
Ω |
0.022169581087496 |
Real period |
R |
18.348532993932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119145n1 |
Quadratic twists by: 13 |