Atkin-Lehner |
2+ 3- 5- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17490n |
Isogeny class |
Conductor |
17490 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
9350154000 = 24 · 36 · 53 · 112 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-100603,12273398] |
[a1,a2,a3,a4,a6] |
Generators |
[-356:1910:1] |
Generators of the group modulo torsion |
j |
112603088219295873961/9350154000 |
j-invariant |
L |
5.0632027171853 |
L(r)(E,1)/r! |
Ω |
0.9903192233578 |
Real period |
R |
2.5563488003484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
52470bb1 87450bm1 |
Quadratic twists by: -3 5 |