Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550ei |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
11151360 |
Modular degree for the optimal curve |
Δ |
-2.4871052336105E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-172445180,-871604927553] |
[a1,a2,a3,a4,a6] |
Generators |
[15665:512673:1] |
Generators of the group modulo torsion |
j |
-1991541343509695978905/87338674870272 |
j-invariant |
L |
10.658292008407 |
L(r)(E,1)/r! |
Ω |
0.020830785720802 |
Real period |
R |
1.9381082766154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999441 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17850i1 53550bq1 |
Quadratic twists by: -3 5 |