Atkin-Lehner |
2+ 5+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86450a |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9031680 |
Modular degree for the optimal curve |
Δ |
3.0140361938477E+23 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 0 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20511442,-24093826284] |
[a1,a2,a3,a4,a6] |
Generators |
[19853106458806908048:-1324612054601581188399:2635391681073152] |
Generators of the group modulo torsion |
j |
61079050613482606276209/19289831640625000000 |
j-invariant |
L |
3.7276893883657 |
L(r)(E,1)/r! |
Ω |
0.072705360572889 |
Real period |
R |
25.635588348642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989091 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17290k1 |
Quadratic twists by: 5 |