Atkin-Lehner |
2+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
63536h |
Isogeny class |
Conductor |
63536 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
698896 = 24 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 1 3 4 11- -1 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44,-121] |
[a1,a2,a3,a4,a6] |
Generators |
[-220:77:64] |
Generators of the group modulo torsion |
j |
1668352/121 |
j-invariant |
L |
11.137633479782 |
L(r)(E,1)/r! |
Ω |
1.8586607310826 |
Real period |
R |
2.9961448299195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997909 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31768f1 63536e1 |
Quadratic twists by: -4 -19 |