Atkin-Lehner |
3+ 23- 67- |
Signs for the Atkin-Lehner involutions |
Class |
106329b |
Isogeny class |
Conductor |
106329 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
695640 |
Modular degree for the optimal curve |
Δ |
-2410172308809 = -1 · 35 · 236 · 67 |
Discriminant |
Eigenvalues |
1 3+ 3 3 0 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-420301,-105054398] |
[a1,a2,a3,a4,a6] |
Generators |
[263049237163357598370660830666755734238117395410920470459777010409766:10646372784906688246778328538087973694934504860737636382378331776925760:136697480271266612027777634132305032752917187528872792197537503337] |
Generators of the group modulo torsion |
j |
-55467626237353/16281 |
j-invariant |
L |
10.099624177613 |
L(r)(E,1)/r! |
Ω |
0.093751734423311 |
Real period |
R |
107.72733155006 |
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 |
201c1 |
Quadratic twists by: -23 |