Atkin-Lehner |
2+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
101150bh |
Isogeny class |
Conductor |
101150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-171955000 = -1 · 23 · 54 · 7 · 173 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -5 -2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,133,-259] |
[a1,a2,a3,a4,a6] |
Generators |
[13:53:1] |
Generators of the group modulo torsion |
j |
84375/56 |
j-invariant |
L |
3.2774269293424 |
L(r)(E,1)/r! |
Ω |
1.0293722274886 |
Real period |
R |
1.5919542302026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999955255 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101150bq1 101150ba1 |
Quadratic twists by: 5 17 |