Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850bs |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1.1515808315025E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3252942,1560869716] |
[a1,a2,a3,a4,a6] |
Generators |
[-1351:59738:1] |
Generators of the group modulo torsion |
j |
334199035754662681/101099003040000 |
j-invariant |
L |
4.8140172108975 |
L(r)(E,1)/r! |
Ω |
0.14311181009489 |
Real period |
R |
2.1023846703321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998042 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19950by2 11970bp2 |
Quadratic twists by: -3 5 |