Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53856bd |
Isogeny class |
Conductor |
53856 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
334470238521408 = 26 · 39 · 11 · 176 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30369,-1837168] |
[a1,a2,a3,a4,a6] |
Generators |
[-958:2295:8] |
Generators of the group modulo torsion |
j |
66390766775488/7168857993 |
j-invariant |
L |
8.5546070771632 |
L(r)(E,1)/r! |
Ω |
0.3641836942787 |
Real period |
R |
1.9574844626499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999429 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53856w1 107712ea1 17952b1 |
Quadratic twists by: -4 8 -3 |