Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86640v |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
75 |
Product of Tamagawa factors cp |
deg |
820800 |
Modular degree for the optimal curve |
Δ |
-206350290948150000 = -1 · 24 · 35 · 55 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 2 2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-317800,72231875] |
[a1,a2,a3,a4,a6] |
Generators |
[1925:81225:1] |
Generators of the group modulo torsion |
j |
-13062850816/759375 |
j-invariant |
L |
9.6691003836673 |
L(r)(E,1)/r! |
Ω |
0.31239374193566 |
Real period |
R |
0.4126886077887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000587 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43320d1 86640i1 |
Quadratic twists by: -4 -19 |