Atkin-Lehner |
2+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40432c |
Isogeny class |
Conductor |
40432 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
196992 |
Modular degree for the optimal curve |
Δ |
13315113424144 = 24 · 72 · 198 |
Discriminant |
Eigenvalues |
2+ -3 -3 7+ 4 -3 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6859,130321] |
[a1,a2,a3,a4,a6] |
Generators |
[0:-361:1] |
Generators of the group modulo torsion |
j |
131328/49 |
j-invariant |
L |
2.1073325467164 |
L(r)(E,1)/r! |
Ω |
0.64661345414432 |
Real period |
R |
0.54317164121558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999931 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20216d1 40432g1 |
Quadratic twists by: -4 -19 |