Atkin-Lehner |
2- 3- 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
58140p |
Isogeny class |
Conductor |
58140 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2075123577600 = 28 · 310 · 52 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 2 0 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3207,-9106] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:162:1] |
Generators of the group modulo torsion |
j |
19545784144/11119275 |
j-invariant |
L |
5.8162911134854 |
L(r)(E,1)/r! |
Ω |
0.68564393922119 |
Real period |
R |
2.1207403656642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999445 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19380b2 |
Quadratic twists by: -3 |