Atkin-Lehner |
2- 3- 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090dd |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-51713290556928000 = -1 · 212 · 38 · 53 · 72 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,81247,6324081] |
[a1,a2,a3,a4,a6] |
Generators |
[71:3492:1] |
Generators of the group modulo torsion |
j |
81362296193000759/70937298432000 |
j-invariant |
L |
10.964312197874 |
L(r)(E,1)/r! |
Ω |
0.2311590228585 |
Real period |
R |
1.9763292645526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986304 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030f1 |
Quadratic twists by: -3 |