Atkin-Lehner |
2- 7- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
92414ba |
Isogeny class |
Conductor |
92414 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-4353069056 = -1 · 212 · 72 · 232 · 41 |
Discriminant |
Eigenvalues |
2- 1 -3 7- -1 2 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-267,3569] |
[a1,a2,a3,a4,a6] |
Generators |
[22:81:1] |
Generators of the group modulo torsion |
j |
-42969774337/88838144 |
j-invariant |
L |
8.2567618930592 |
L(r)(E,1)/r! |
Ω |
1.2288578109734 |
Real period |
R |
0.27996057985679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006467 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92414q1 |
Quadratic twists by: -7 |