Atkin-Lehner |
2- 3- 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
128100z |
Isogeny class |
Conductor |
128100 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
72000 |
Modular degree for the optimal curve |
Δ |
-7263270000 = -1 · 24 · 35 · 54 · 72 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 3 3 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,42,4113] |
[a1,a2,a3,a4,a6] |
Generators |
[18:105:1] |
Generators of the group modulo torsion |
j |
800000/726327 |
j-invariant |
L |
9.7528229908866 |
L(r)(E,1)/r! |
Ω |
1.0339254152435 |
Real period |
R |
0.10480901167725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999057884 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128100j1 |
Quadratic twists by: 5 |