Atkin-Lehner |
3+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
71487d |
Isogeny class |
Conductor |
71487 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
29565270020428389 = 33 · 1312 · 47 |
Discriminant |
Eigenvalues |
0 3+ -3 1 3 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-112554,11950032] |
[a1,a2,a3,a4,a6] |
j |
1209992380416/226860023 |
j-invariant |
L |
1.4156119105125 |
L(r)(E,1)/r! |
Ω |
0.3539029693302 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71487a2 5499a1 |
Quadratic twists by: -3 13 |