Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850ed |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
416 |
Product of Tamagawa factors cp |
Δ |
2.388015E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 0 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-160581755,-783195407253] |
[a1,a2,a3,a4,a6] |
Generators |
[-7317:3546:1] |
Generators of the group modulo torsion |
j |
1085496729895194829662267/56604800000000 |
j-invariant |
L |
10.399684678527 |
L(r)(E,1)/r! |
Ω |
0.042410706404019 |
Real period |
R |
2.3578236851262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59850p2 11970b2 |
Quadratic twists by: -3 5 |