Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
106722cf |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
44706816 |
Modular degree for the optimal curve |
Δ |
-1.5291615522888E+26 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ -6 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-207922248,-1298273957744] |
[a1,a2,a3,a4,a6] |
Generators |
[43165774633012:270839677745512:2554497863] |
Generators of the group modulo torsion |
j |
-2047314227/314928 |
j-invariant |
L |
3.5944048010093 |
L(r)(E,1)/r! |
Ω |
0.019711855628566 |
Real period |
R |
22.793419787178 |
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 |
35574bt1 106722bk1 106722fz1 |
Quadratic twists by: -3 -7 -11 |