Atkin-Lehner |
5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
89425bc |
Isogeny class |
Conductor |
89425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-548582580875 = -1 · 53 · 77 · 732 |
Discriminant |
Eigenvalues |
0 1 5- 7- 3 7 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2123,51139] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-123:1] |
Generators of the group modulo torsion |
j |
-71991296/37303 |
j-invariant |
L |
7.48231731352 |
L(r)(E,1)/r! |
Ω |
0.85926139826138 |
Real period |
R |
1.088480952256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999911645 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89425bd1 12775k1 |
Quadratic twists by: 5 -7 |