Atkin-Lehner |
2- 3- 5+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17490y |
Isogeny class |
Conductor |
17490 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69888 |
Modular degree for the optimal curve |
Δ |
288585000000 = 26 · 32 · 57 · 112 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-86351,-9773895] |
[a1,a2,a3,a4,a6] |
Generators |
[930:26265:1] |
Generators of the group modulo torsion |
j |
71207565904201992049/288585000000 |
j-invariant |
L |
8.1540976109463 |
L(r)(E,1)/r! |
Ω |
0.27850486839933 |
Real period |
R |
4.879685860796 |
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 |
52470s1 87450c1 |
Quadratic twists by: -3 5 |