Atkin-Lehner |
2- 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
106722ec |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
988416 |
Modular degree for the optimal curve |
Δ |
-361904417538048 = -1 · 222 · 33 · 74 · 113 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 11+ 0 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-81962,9098345] |
[a1,a2,a3,a4,a6] |
Generators |
[177:-425:1] [-239:3991:1] |
Generators of the group modulo torsion |
j |
-705703720113/4194304 |
j-invariant |
L |
13.89529414703 |
L(r)(E,1)/r! |
Ω |
0.5403854061002 |
Real period |
R |
0.097400280158898 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000557 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722c1 106722em1 106722d1 |
Quadratic twists by: -3 -7 -11 |