Atkin-Lehner |
3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
71487r |
Isogeny class |
Conductor |
71487 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2257920 |
Modular degree for the optimal curve |
Δ |
1.5002864751175E+19 |
Discriminant |
Eigenvalues |
-2 3- -1 1 1 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4892043,-4160526458] |
[a1,a2,a3,a4,a6] |
Generators |
[-1265:1903:1] |
Generators of the group modulo torsion |
j |
3679653013295104/4263699141 |
j-invariant |
L |
2.8751103840604 |
L(r)(E,1)/r! |
Ω |
0.1015213078758 |
Real period |
R |
1.1800110587661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000724 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23829c1 5499h1 |
Quadratic twists by: -3 13 |