Atkin-Lehner |
2+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
128576bu |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32514048 |
Modular degree for the optimal curve |
Δ |
2.1838771676972E+24 |
Discriminant |
Eigenvalues |
2+ -3 -1 7- 2 0 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60690028,-167515728464] |
[a1,a2,a3,a4,a6] |
Generators |
[-1833846:22052864:343] |
Generators of the group modulo torsion |
j |
801581275315909089/70810888830976 |
j-invariant |
L |
2.9485052863455 |
L(r)(E,1)/r! |
Ω |
0.054395488429384 |
Real period |
R |
6.7756198982529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000190357 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128576dc1 4018s1 18368j1 |
Quadratic twists by: -4 8 -7 |