Atkin-Lehner |
2- 23- 83- |
Signs for the Atkin-Lehner involutions |
Class |
122176bu |
Isogeny class |
Conductor |
122176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-95136985088 = -1 · 212 · 234 · 83 |
Discriminant |
Eigenvalues |
2- 1 -2 -1 -3 -4 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-809,17015] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:157:1] [17:92:1] |
Generators of the group modulo torsion |
j |
-14313506752/23226803 |
j-invariant |
L |
11.406369235992 |
L(r)(E,1)/r! |
Ω |
0.95759941962298 |
Real period |
R |
1.4889275461573 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122176ba1 61088f1 |
Quadratic twists by: -4 8 |