Atkin-Lehner |
2+ 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17850o |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
866694463488000000 = 224 · 34 · 56 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1756101,894452848] |
[a1,a2,a3,a4,a6] |
j |
38331145780597164097/55468445663232 |
j-invariant |
L |
2.2452621126016 |
L(r)(E,1)/r! |
Ω |
0.2806577640752 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53550dt1 714g1 124950ba1 |
Quadratic twists by: -3 5 -7 |