Atkin-Lehner |
11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51623a |
Isogeny class |
Conductor |
51623 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
165761453 = 11 · 133 · 193 |
Discriminant |
Eigenvalues |
0 2 2 5 11+ 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-177,724] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:281:8] |
Generators of the group modulo torsion |
j |
89915392/24167 |
j-invariant |
L |
9.8835333135719 |
L(r)(E,1)/r! |
Ω |
1.6938421378967 |
Real period |
R |
2.9174895028294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51623e1 |
Quadratic twists by: -19 |