Atkin-Lehner |
2- 3- 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
58140q |
Isogeny class |
Conductor |
58140 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
2361310393093650000 = 24 · 310 · 55 · 17 · 196 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -6 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12929952,-17895332671] |
[a1,a2,a3,a4,a6] |
Generators |
[-2072:225:1] |
Generators of the group modulo torsion |
j |
20495897433730579431424/202444306678125 |
j-invariant |
L |
4.8307328896879 |
L(r)(E,1)/r! |
Ω |
0.079616042083355 |
Real period |
R |
2.0225123660312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000051 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19380c1 |
Quadratic twists by: -3 |