Atkin-Lehner |
2- 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
966j |
Isogeny class |
Conductor |
966 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
3960 |
Modular degree for the optimal curve |
Δ |
-69854999176704 = -1 · 29 · 3 · 711 · 23 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 4 -3 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,9096,224832] |
[a1,a2,a3,a4,a6] |
j |
83228502970940543/69854999176704 |
j-invariant |
L |
3.5935270081529 |
L(r)(E,1)/r! |
Ω |
0.39928077868365 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7728m1 30912g1 2898f1 24150k1 |
Quadratic twists by: -4 8 -3 5 |