Atkin-Lehner |
3- 5+ 23- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
85905c |
Isogeny class |
Conductor |
85905 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-1006079392069495875 = -1 · 37 · 53 · 235 · 833 |
Discriminant |
Eigenvalues |
2 3- 5+ 1 -1 6 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,184677,37360053] |
[a1,a2,a3,a4,a6] |
Generators |
[10882:423725:8] |
Generators of the group modulo torsion |
j |
955508636466704384/1380081470602875 |
j-invariant |
L |
13.750964299012 |
L(r)(E,1)/r! |
Ω |
0.18804667174574 |
Real period |
R |
3.6562636733008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002349 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28635j1 |
Quadratic twists by: -3 |