Atkin-Lehner |
7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
22253d |
Isogeny class |
Conductor |
22253 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
489600 |
Modular degree for the optimal curve |
Δ |
1716533611306696567 = 75 · 114 · 178 |
Discriminant |
Eigenvalues |
-1 -1 0 7+ 11- -6 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2807063,1807931694] |
[a1,a2,a3,a4,a6] |
Generators |
[1276:16846:1] |
Generators of the group modulo torsion |
j |
350662100640625/246071287 |
j-invariant |
L |
1.6161641441105 |
L(r)(E,1)/r! |
Ω |
0.26303889074529 |
Real period |
R |
0.51201685408931 |
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 |
22253h1 |
Quadratic twists by: 17 |