Atkin-Lehner |
2+ 3- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86190bh |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
105600 |
Modular degree for the optimal curve |
Δ |
-74177268750 = -1 · 2 · 35 · 55 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 1 13+ 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,22,-13102] |
[a1,a2,a3,a4,a6] |
Generators |
[54:-410:1] |
Generators of the group modulo torsion |
j |
7433231/438918750 |
j-invariant |
L |
5.7218604024014 |
L(r)(E,1)/r! |
Ω |
0.50226108793586 |
Real period |
R |
0.22784406495869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86190cl1 |
Quadratic twists by: 13 |