Atkin-Lehner |
3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
42237a |
Isogeny class |
Conductor |
42237 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-8920197261439659 = -1 · 310 · 132 · 197 |
Discriminant |
Eigenvalues |
0 3- -1 -3 3 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-17328,4628110] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:2346:1] |
Generators of the group modulo torsion |
j |
-16777216/260091 |
j-invariant |
L |
3.7854790159152 |
L(r)(E,1)/r! |
Ω |
0.34778675773699 |
Real period |
R |
0.68028018097685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14079a1 2223d1 |
Quadratic twists by: -3 -19 |