Atkin-Lehner |
2- 3+ 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
17220c |
Isogeny class |
Conductor |
17220 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
44352 |
Modular degree for the optimal curve |
Δ |
-87519561696000 = -1 · 28 · 34 · 53 · 77 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 0 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5819,414481] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:441:1] |
Generators of the group modulo torsion |
j |
85104824877056/341873287875 |
j-invariant |
L |
3.1542071961073 |
L(r)(E,1)/r! |
Ω |
0.43150159335526 |
Real period |
R |
3.6549195236812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68880cm1 51660l1 86100bh1 120540bk1 |
Quadratic twists by: -4 -3 5 -7 |