Atkin-Lehner |
3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22785m |
Isogeny class |
Conductor |
22785 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-15263193015 = -1 · 33 · 5 · 76 · 312 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 0 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-369,-6569] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1317:1] |
Generators of the group modulo torsion |
j |
-47045881/129735 |
j-invariant |
L |
6.3658357786886 |
L(r)(E,1)/r! |
Ω |
0.50542219416462 |
Real period |
R |
4.1983618528468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68355z1 113925u1 465a1 |
Quadratic twists by: -3 5 -7 |