Atkin-Lehner |
2+ 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47424i |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1492992 |
Modular degree for the optimal curve |
Δ |
-5.6461809741604E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -1 6 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,828671,215120641] |
[a1,a2,a3,a4,a6] |
Generators |
[439790600079075:-143392606243156432:8963913629917] |
Generators of the group modulo torsion |
j |
240065464752030527/215384711233536 |
j-invariant |
L |
6.7772933193308 |
L(r)(E,1)/r! |
Ω |
0.12941713841613 |
Real period |
R |
26.183909651669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47424dh1 1482l1 |
Quadratic twists by: -4 8 |