Atkin-Lehner |
3+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
71487a |
Isogeny class |
Conductor |
71487 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
2286673487452341 = 33 · 138 · 473 |
Discriminant |
Eigenvalues |
0 3+ 3 1 -3 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-298116,62608458] |
[a1,a2,a3,a4,a6] |
Generators |
[-442:10393:1] |
Generators of the group modulo torsion |
j |
22483074023424/17546087 |
j-invariant |
L |
6.5504854732188 |
L(r)(E,1)/r! |
Ω |
0.45731706596405 |
Real period |
R |
3.5809321144832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001788 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71487d2 5499c1 |
Quadratic twists by: -3 13 |