Atkin-Lehner |
3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
17661a |
Isogeny class |
Conductor |
17661 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-10287114227172363 = -1 · 3 · 78 · 296 |
Discriminant |
Eigenvalues |
1 3+ -2 7+ -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-28611,-5235204] |
[a1,a2,a3,a4,a6] |
Generators |
[5818840835578:-153788295256299:8072216216] |
Generators of the group modulo torsion |
j |
-4354703137/17294403 |
j-invariant |
L |
3.0250075107262 |
L(r)(E,1)/r! |
Ω |
0.16754005552099 |
Real period |
R |
18.055428603742 |
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 |
52983a5 123627r5 21a6 |
Quadratic twists by: -3 -7 29 |