Atkin-Lehner |
3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22785l |
Isogeny class |
Conductor |
22785 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-1.2218720681852E+20 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 2 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3478389,2552699587] |
[a1,a2,a3,a4,a6] |
Generators |
[341:37329:1] |
Generators of the group modulo torsion |
j |
-39561225788358502201/1038574121484375 |
j-invariant |
L |
7.0951020461371 |
L(r)(E,1)/r! |
Ω |
0.18563190691389 |
Real period |
R |
3.1851124824087 |
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 |
68355y1 113925t1 3255b1 |
Quadratic twists by: -3 5 -7 |