Atkin-Lehner |
2- 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
774g |
Isogeny class |
Conductor |
774 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-6018624 = -1 · 26 · 37 · 43 |
Discriminant |
Eigenvalues |
2- 3- -1 -5 -1 -3 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,22,105] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:9:1] |
Generators of the group modulo torsion |
j |
1685159/8256 |
j-invariant |
L |
2.792203875245 |
L(r)(E,1)/r! |
Ω |
1.7182765281501 |
Real period |
R |
0.067708442866562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6192u1 24768ba1 258a1 19350bd1 |
Quadratic twists by: -4 8 -3 5 |