Atkin-Lehner |
2+ 7- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
106288b |
Isogeny class |
Conductor |
106288 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
241664 |
Modular degree for the optimal curve |
Δ |
-5602095256576 = -1 · 210 · 78 · 13 · 73 |
Discriminant |
Eigenvalues |
2+ -2 -3 7- -4 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4048,-54716] |
[a1,a2,a3,a4,a6] |
Generators |
[64:-686:1] [43:448:1] |
Generators of the group modulo torsion |
j |
7162060352828/5470796149 |
j-invariant |
L |
6.122703846613 |
L(r)(E,1)/r! |
Ω |
0.42460642924581 |
Real period |
R |
0.90123220933812 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000222 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53144b1 |
Quadratic twists by: -4 |