Atkin-Lehner |
2+ 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550f |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1721967187500 = 22 · 33 · 58 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-26817,1695841] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:1813:1] [-91:1883:1] |
Generators of the group modulo torsion |
j |
5055680349747/4081700 |
j-invariant |
L |
7.3925283076543 |
L(r)(E,1)/r! |
Ω |
0.83303127859628 |
Real period |
R |
0.55464066128121 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999961 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53550cv2 10710q2 |
Quadratic twists by: -3 5 |