Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722ho |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
deg |
30965760 |
Modular degree for the optimal curve |
Δ |
-9.2985197628474E+23 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 11- -6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21612317,-60393128155] |
[a1,a2,a3,a4,a6] |
Generators |
[7065:369994:1] |
Generators of the group modulo torsion |
j |
-7347774183121/6119866368 |
j-invariant |
L |
6.3220903882407 |
L(r)(E,1)/r! |
Ω |
0.033816974334794 |
Real period |
R |
1.6691982818416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35574bm1 15246bm1 9702z1 |
Quadratic twists by: -3 -7 -11 |