Atkin-Lehner |
2- 3- 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
89460l |
Isogeny class |
Conductor |
89460 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-14202669600000 = -1 · 28 · 36 · 55 · 73 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -1 2 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4287,-211066] |
[a1,a2,a3,a4,a6] |
Generators |
[223:3150:1] |
Generators of the group modulo torsion |
j |
-46689225424/76103125 |
j-invariant |
L |
8.4235316570526 |
L(r)(E,1)/r! |
Ω |
0.27925566213409 |
Real period |
R |
0.33515809665121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998882 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9940b1 |
Quadratic twists by: -3 |