Atkin-Lehner |
2+ 3- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
55536n |
Isogeny class |
Conductor |
55536 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-48654867456 = -1 · 210 · 35 · 133 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -3 -3 1 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,448,10116] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:36:1] [-8:78:1] |
Generators of the group modulo torsion |
j |
9689202428/47514519 |
j-invariant |
L |
9.4078121219221 |
L(r)(E,1)/r! |
Ω |
0.81184290653133 |
Real period |
R |
0.19313695720847 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27768d1 |
Quadratic twists by: -4 |