Atkin-Lehner |
2+ 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10710j |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-9896993803468800 = -1 · 228 · 36 · 52 · 7 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39669,-5660875] |
[a1,a2,a3,a4,a6] |
Generators |
[1771:73117:1] |
Generators of the group modulo torsion |
j |
-9470133471933009/13576123187200 |
j-invariant |
L |
3.6323638719827 |
L(r)(E,1)/r! |
Ω |
0.16081137089055 |
Real period |
R |
5.6469325705442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680fq1 1190d1 53550ea1 74970be1 |
Quadratic twists by: -4 -3 5 -7 |