Atkin-Lehner |
2- 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
9940g |
Isogeny class |
Conductor |
9940 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
183744 |
Modular degree for the optimal curve |
Δ |
-2223522087500000000 = -1 · 28 · 511 · 7 · 714 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -1 3 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1668885,832366775] |
[a1,a2,a3,a4,a6] |
Generators |
[5905:443750:1] |
Generators of the group modulo torsion |
j |
-2007997837278661574656/8685633154296875 |
j-invariant |
L |
5.5766919367952 |
L(r)(E,1)/r! |
Ω |
0.26110479847177 |
Real period |
R |
0.16180348440594 |
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 |
39760u1 89460d1 49700d1 69580j1 |
Quadratic twists by: -4 -3 5 -7 |