Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722er |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-844809084370944 = -1 · 215 · 33 · 72 · 117 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11- 2 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-79883,8821915] |
[a1,a2,a3,a4,a6] |
Generators |
[-305:2330:1] [157:-442:1] |
Generators of the group modulo torsion |
j |
-24052806603/360448 |
j-invariant |
L |
16.452262474181 |
L(r)(E,1)/r! |
Ω |
0.5021151651197 |
Real period |
R |
0.27304928594741 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989455 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722s1 106722ed1 9702j1 |
Quadratic twists by: -3 -7 -11 |