Atkin-Lehner |
2+ 3- 5- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17490n |
Isogeny class |
Conductor |
17490 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3823299100285790400 = -1 · 26 · 34 · 52 · 113 · 536 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,314742,65072956] |
[a1,a2,a3,a4,a6] |
Generators |
[365:14937:1] |
Generators of the group modulo torsion |
j |
3448178949066509958119/3823299100285790400 |
j-invariant |
L |
5.0632027171853 |
L(r)(E,1)/r! |
Ω |
0.16505320389297 |
Real period |
R |
3.8345232005226 |
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 |
52470bb4 87450bm4 |
Quadratic twists by: -3 5 |